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The latest frontier study on geometry and theory of eigenvalues

Research Project

Project/Area Number 24340013
Research Category

Grant-in-Aid for Scientific Research (B)

Allocation TypePartial Multi-year Fund
Section一般
Research Field Geometry
Research InstitutionFukuoka University

Principal Investigator

Cheng Qing-Ming  福岡大学, 理学部, 教授 (50274577)

Co-Investigator(Kenkyū-buntansha) 山田 光太郎  東京工業大学, 理学院, 教授 (10221657)
塩谷 隆  東北大学, 理学(系)研究科(研究院), 教授 (90235507)
Co-Investigator(Renkei-kenkyūsha) Futaki Akito  東京大学, 数理科学研究科, 教授 (90143247)
Koiso Miyuki  九州大学, 数理学研究院, 教授 (10178189)
Rossman Wayne  神戸大学, 理学研究科, 教授 (50284485)
Research Collaborator Li Haizhong  清華大学, 教授
Wei Guoxin  華南師範大学, 教授
Yang Hongcang  中国科学院, 教授
Project Period (FY) 2012-04-01 – 2016-03-31
Project Status Completed (Fiscal Year 2016)
Budget Amount *help
¥12,350,000 (Direct Cost: ¥9,500,000、Indirect Cost: ¥2,850,000)
Fiscal Year 2015: ¥3,380,000 (Direct Cost: ¥2,600,000、Indirect Cost: ¥780,000)
Fiscal Year 2014: ¥2,990,000 (Direct Cost: ¥2,300,000、Indirect Cost: ¥690,000)
Fiscal Year 2013: ¥2,990,000 (Direct Cost: ¥2,300,000、Indirect Cost: ¥690,000)
Fiscal Year 2012: ¥2,990,000 (Direct Cost: ¥2,300,000、Indirect Cost: ¥690,000)
Keywordseigenvalues of Laplacian / Riemannian manifold / minimal immersion / Alenxandrov space / Singularity / maximum principle / mean curvature flow / self-shrinker / 固有値理論 / 平均曲率フロー / 特異点 / 部分多様体 / Alexandrov空間 / ラプラス作用素 / リーマン多様体 / フロント / Ricci Soliton
Outline of Final Research Achievements

By making use of Cheng-Yang recursion formula, we give optimal estimates for lower bounds of eigenvalues of Laplacian on a bounded domain in complete Riemannian manifolds. Our method is original. According to this result, a difficult problem proposed by I. Chavel is solved. Furthermore, we find an obstruction on minimal immersions from complete Riemannian manifolds into Euclidean spaces in the view of eigenvalues of Laplacian. Geometry of fronts with singularities has been studied. Gauss-Bonnet theorem on fronts is proved. By improving the generalized maximum principle of Omori-Yau, important results on classification of complete self-shrinkers of the mean curvature flow are obtained. Eigenvalues of Laplacian on compact Alexandrov spaces are studied and important progresses are obtained.

Report

(5 results)
  • 2016 Final Research Report ( PDF )
  • 2015 Annual Research Report
  • 2014 Annual Research Report
  • 2013 Annual Research Report
  • 2012 Annual Research Report
  • Research Products

    (79 results)

All 2016 2015 2014 2013 2012 Other

All Int'l Joint Research (1 results) Journal Article (35 results) (of which Int'l Joint Research: 5 results,  Peer Reviewed: 35 results,  Open Access: 16 results,  Acknowledgement Compliant: 17 results) Presentation (36 results) (of which Int'l Joint Research: 4 results,  Invited: 26 results) Book (2 results) Remarks (3 results) Funded Workshop (2 results)

  • [Int'l Joint Research] 華南師範大学(中国)

    • Related Report
      2015 Annual Research Report
  • [Journal Article] Critical Points of theWeighted Area Functional2016

    • Author(s)
      Qing-Ming Cheng
    • Journal Title

      Springer Proceedings in Mathematics & Statistics, GEOMETRY AND TOPOLOGY OF MANIFOLDS

      Volume: in press Pages: 81-96

    • DOI

      10.1007/978-4-431-56021-0_4

    • ISBN
      9784431560197, 9784431560210
    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Universal Estimates for Eigenvalues and Applications2016

    • Author(s)
      Qing-Ming Cheng
    • Journal Title

      Proceedings of the 6th International Congress of Chinese Mathematicians

      Volume: ALM 37 Pages: 37-52

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] 2-dimensional complete self-shrinkers in R32016

    • Author(s)
      Qing-Ming Cheng and S. Ogata
    • Journal Title

      Math. Z.

      Volume: in press Issue: 1-2 Pages: 537-542

    • DOI

      10.1007/s00209-016-1665-2

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Rigidity theorems of λ-hypersurfaces2016

    • Author(s)
      Qing-Ming Cheng, S. Ogata and G. Wei
    • Journal Title

      Comm. Analy. Geom.

      Volume: in press

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] A gap theorem of self-shrinkers2015

    • Author(s)
      Qing-Ming Cheng and G. Wei
    • Journal Title

      Trans. Amer. Math. Soc.

      Volume: 367 Pages: 4895-4915

    • Related Report
      2015 Annual Research Report 2014 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] Complete self-shrinkers of the mean curvature flow2015

    • Author(s)
      Qing-Ming Cheng and Y. Peng
    • Journal Title

      Calculus of Variations and PDEs.

      Volume: 52 Issue: 3-4 Pages: 497-506

    • DOI

      10.1007/s00526-014-0720-2

    • Related Report
      2015 Annual Research Report 2014 Annual Research Report 2013 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] Limit formulas for metric measure invariants and phase transition property2015

    • Author(s)
      R. Ozawa and T. Shioya
    • Journal Title

      Math. Z

      Volume: 280 Issue: 3-4 Pages: 759-782

    • DOI

      10.1007/s00209-015-1447-2

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Estimate of observable diameter of $l_{p}$-product spaces2015

    • Author(s)
      R. Ozawa and T. Shioya
    • Journal Title

      Manuscripta Math

      Volume: 147 Issue: 3-4 Pages: 501-509

    • DOI

      10.1007/s00229-015-0730-1

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Intrinsic properties of surfaces with singularities2015

    • Author(s)
      M. Hasegawa, A. Honda, K. Naokawa, K. Saji, M. Umehara, K. Yamada
    • Journal Title

      International Journal of Mathatematics

      Volume: 26 Issue: 04 Pages: 1-34

    • DOI

      10.1142/s0129167x1540008x

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Zero mean curvature surfaces in Lorentz-Minkowski 3-space which change type across a light-like line2015

    • Author(s)
      S. Fujimori, Y.W. Kim, S.-E. Koh, W. Rossman, H. Shin, M. Umehara,K. Yamada and S.-D. Yang
    • Journal Title

      Osaka J. Math.

      Volume: 52 Pages: 285-297

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] Zero mean curvature surfaces in Lorentz-Minkowski 3-space and 2-dimensional fluid mechanics2015

    • Author(s)
      S. Fujimori, Y.W. Kim, S.-E. Koh, W. Rossman, H. Shin, M. Umehara,K. Yamada and S.-D. Yang
    • Journal Title

      Math. J. Okayama Univ.

      Volume: 57 Pages: 173-200

    • NAID

      120005525349

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] Limit formulas for metric measure invariants and phase transition property2015

    • Author(s)
      Ozawa, Ryunosuke; Shioya, Takashi
    • Journal Title

      Math. Z.

      Volume: in press

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Locally strongly Lipschitz contractibility of Alexandrov spaces2014

    • Author(s)
      A. Mitsuishi and T. Yamaguchi
    • Journal Title

      Pacific J.

      Volume: 270 Issue: 1 Pages: 393-421

    • DOI

      10.1007/s10711-014-0017-9

    • Related Report
      2015 Annual Research Report 2014 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] A duality for conformally flat hypersurfaces2014

    • Author(s)
      U.Hertrich-Jeromin, Y.Suyama, M.Umehara, K.Yamada
    • Journal Title

      Beitr Algebra Geom

      Volume: 55 Issue: 2 Pages: 655-676

    • DOI

      10.1007/s13366-014-0225-3

    • Related Report
      2015 Annual Research Report 2014 Annual Research Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] The stability index of hypersurfaces with constant scalar curvature in spheres2014

    • Author(s)
      Qing-Ming Cheng, H. Li and G. Wei
    • Journal Title

      Proc. Royal Soc. Edinburgh

      Volume: 144A Pages: 447-453

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Estimates for eigenvalues of the Paneitz operator2014

    • Author(s)
      Qing-Ming Cheng
    • Journal Title

      J. Diff. Eqns.

      Volume: 257 Issue: 10 Pages: 3868-3886

    • DOI

      10.1016/j.jde.2014.07.012

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Embedded triply periodic zero mean curvature surfaces of mixed type in Lorentz-Minkowski 3-space2014

    • Author(s)
      Shoichi Fujimori, Wayne Rossman, Masaaki Umehara, Kotaro Yamada, Seong-Deog Yang
    • Journal Title

      Michigan Mathematical Journal

      Volume: 63 Pages: 189-207

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Intrinsic invariants of cross caps2014

    • Author(s)
      Masaru Hasegawa, Atsufumi Honda, Kosuke Naokawa, Masaaki Umehara and Kotaro Yamada
    • Journal Title

      Selecta Mathematica

      Volume: 20 Pages: 769-785

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] A lower bound for eigenvalues of the poly-Laplacian with arbitrary order2013

    • Author(s)
      Q.-M. Cheng, X. Qi, G. Wei
    • Journal Title

      Pacific J. Math.

      Volume: 262 Issue: 1 Pages: 35-47

    • DOI

      10.2140/pjm.2013.262.35

    • Related Report
      2013 Annual Research Report 2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Upper and lower bounds for eigenvalues of the clamped plate problem2013

    • Author(s)
      Qing-Ming Cheng and Guoxin Wei
    • Journal Title

      J. Diff. Eqns.

      Volume: 255 Issue: 2 Pages: 220-233

    • DOI

      10.1016/j.jde.2013.04.004

    • Related Report
      2013 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Estimates for eigenvalues of L operator on self-shrinkers2013

    • Author(s)
      Qing-Ming Cheng and Y. Peng
    • Journal Title

      Comm. Contemporary Math.

      Volume: 15 Issue: 06 Pages: 1350011-1350011

    • DOI

      10.1142/s0219199713500119

    • Related Report
      2013 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Estimates for lower bounds of eigenvalues of the poly-Laplacian and quadratic polynomial operator of the Laplacian2013

    • Author(s)
      Q.-M. Cheng, H. Sun, G. Wei and L. Zeng
    • Journal Title

      Proc. Royal Soc. Edinburgh

      Volume: 143A Pages: 1147-1162

    • Related Report
      2013 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Intrinsic invariants of cross caps Selecta Mathematica2013

    • Author(s)
      Masaru Hasegawa, Atsufumi Honda, Kosuke Naokawa, Masaaki Umehara and Kotaro Yamada
    • Journal Title

      Online First

      Volume: 20130730 Issue: 3 Pages: 769-785

    • DOI

      10.1007/s00029-013-0134-6

    • Related Report
      2013 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Concentration, Ricci curvature, and eigenvalues of Laplacian2013

    • Author(s)
      Kei Funano and Takashi Shioya
    • Journal Title

      Geom. Funct. Anal.

      Volume: 23 Issue: 3 Pages: 888-936

    • DOI

      10.1007/s00039-013-0215-x

    • Related Report
      2013 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Estimates for lower bounds of eigenvalues of the poly-Laplacian and quadratic polynomial operator of the Laplacian2013

    • Author(s)
      Q.-M. Cheng, H. Sun, G. Wei, L. Zeng
    • Journal Title

      Proc. Royal Soc. Edinburgh

      Volume: (In press)

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Upper and lower bounds for eigenvalues of the clamped plate problem2013

    • Author(s)
      Q.-M. Cheng, G. Wei
    • Journal Title

      J. Diff. Eqns.

      Volume: (In press)

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Concentration, Ricci curvature and eigenvalues of Laplacian2013

    • Author(s)
      K. Funano, T. Shioya
    • Journal Title

      GAFA

      Volume: (In press)

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Universal bounds for eigenvalues of a buckling problem II2012

    • Author(s)
      Q.-M. Cheng, H. Yang
    • Journal Title

      Trans. Amer. Math. Soc.

      Volume: 364 Pages: 6139-6158

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] On eigenvalues of a system of elliptic equations and of the biharmonic operator2012

    • Author(s)
      D. Chen, Q.-M. Cheng, Q. Wang, C. Xia
    • Journal Title

      J. Math. Anal. Appl.

      Volume: 387 Issue: 2 Pages: 1146-1159

    • DOI

      10.1016/j.jmaa.2011.10.020

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Eigenvalues of the Laplacian on Riemannian manifolds2012

    • Author(s)
      Q.-M. Cheng, X, Qi
    • Journal Title

      International J. Math.

      Volume: 23 Issue: 07 Pages: 1250067-1250067

    • DOI

      10.1142/s0129167x1250067x

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Equilibria for anisotropic surface energies with wetting and line tension2012

    • Author(s)
      M. Koiso, B. Palmer
    • Journal Title

      Calc. Var. Partial Differential Equations

      Volume: 43 Pages: 555-587

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Zero mean curvature surfaces in L^3 containing a light-like line2012

    • Author(s)
      Shoichi Fujimori
    • Journal Title

      Comptes Reudus de l'Academie Sciences. Serie I. Mathematique,

      Volume: 350 Issue: 21-22 Pages: 975-978

    • DOI

      10.1016/j.crma.2012.10.024

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Discrete flat surfaces and linear Weingarten surfacps in hyperbolic 3-sp2012

    • Author(s)
      T. Hoffmann, W. Rossman, T. Sasaki, M. Yoshida
    • Journal Title

      Trans. Amer. Math. Soc.

      Volume: 364 Pages: 5605-5644

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Lie geometry of linear Weingarten surfaces2012

    • Author(s)
      F. Burstall, U. Hertrich-Jeromin, W. Rossman
    • Journal Title

      C. R. Math. Acad. Sci. Paris

      Volume: 350 Issue: 7-8 Pages: 413-416

    • DOI

      10.1016/j.crma.2012.03.018

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Coherent tangent bundles and Gauss-Bonnet formulas for wave fronts2012

    • Author(s)
      Kentaro Saji, Masaaki Umehara and Kotaro Yamada
    • Journal Title

      Journal of Geometric Analysis

      Volume: vol.22 Issue: 2 Pages: 383-409

    • DOI

      10.1007/s12220-010-9193-5

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Presentation] Complete self-shrinkers2016

    • Author(s)
      Qing-Ming Cheng
    • Organizer
      Seminar on Mathematics, Guangxi Normal University
    • Place of Presentation
      Guangxi Normal University, China
    • Year and Date
      2016-03-25
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Geometry of λ-hypersurfaces of the weighted volume-preserving mean curvature flow2016

    • Author(s)
      成 慶明
    • Organizer
      日本数学会年会
    • Place of Presentation
      筑 波大学
    • Year and Date
      2016-03-16
    • Related Report
      2015 Annual Research Report
    • Invited
  • [Presentation] Geometry of critical points of weighted area functional,2015

    • Author(s)
      Qing-Ming Cheng
    • Organizer
      School & Workshop on Geometric Analysis
    • Place of Presentation
      KIAS, Korea
    • Year and Date
      2015-12-07
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] 汎関数の臨界点の幾何学2015

    • Author(s)
      成 慶明
    • Organizer
      広島幾何学研究集会 2015
    • Place of Presentation
      広島 大学
    • Year and Date
      2015-10-07
    • Related Report
      2015 Annual Research Report
    • Invited
  • [Presentation] Geometry of λ-hypersurfaces2015

    • Author(s)
      Qing-Ming Cheng
    • Organizer
      International conference on geometry and topology of submanifolds
    • Place of Presentation
      Henan Normal University, Henan, China
    • Year and Date
      2015-09-25
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Geometry of critical points of functional2015

    • Author(s)
      Qing-Ming Cheng
    • Organizer
      Seminar on Mathematics, Wuhan University
    • Place of Presentation
      Wuhan University, China
    • Year and Date
      2015-06-23
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Complete λ-hypersurfaces of the weighted volume-preserving mean curvature flow2015

    • Author(s)
      Qing-Ming Cheng
    • Organizer
      Sichuan University
    • Place of Presentation
      Sichuan University, Chengdu, China
    • Year and Date
      2015-03-24
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] 重み付き体積を保つ平均曲率フロー2015

    • Author(s)
      成 慶明
    • Organizer
      研究集会「リーマン幾何と幾何解析」
    • Place of Presentation
      筑波大学
    • Year and Date
      2015-03-06 – 2015-03-07
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] On critical points of functional2015

    • Author(s)
      Qing-Ming Cheng
    • Organizer
      Beijing Normal University
    • Place of Presentation
      Beijing Normal University, Beijing, China
    • Year and Date
      2015-03-03
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] The weighted volume-preserving mean curvature flow2015

    • Author(s)
      Qing-Ming Cheng
    • Organizer
      South China Normal University
    • Place of Presentation
      South China Normal University, Guangzhou, China
    • Year and Date
      2015-01-15
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] Eigenvalues of the Paneitz operator2014

    • Author(s)
      Qing-Ming Cheng
    • Organizer
      Tsinghua University
    • Place of Presentation
      Tsinghua University, Beijing, China
    • Year and Date
      2014-11-13
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] 重み付き体積保存変分について2014

    • Author(s)
      成 慶明
    • Organizer
      広島幾何学研究集会 2014
    • Place of Presentation
      広島大学
    • Year and Date
      2014-10-08 – 2014-10-11
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] Critical points of the weighted area functional2014

    • Author(s)
      Qing-Ming Cheng
    • Organizer
      The 10th Geometry Conference for the Friendship of China and Japan
    • Place of Presentation
      Fudan University, Shanghai, China
    • Year and Date
      2014-09-06 – 2014-09-12
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] The weighted volume-preserving variations2014

    • Author(s)
      Qing-Ming Cheng
    • Organizer
      Workshop on Differential Geometry
    • Place of Presentation
      Henan Normal University, China
    • Year and Date
      2014-08-28
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] From self-shrinkers to λ-hypersurfaces2014

    • Author(s)
      Qing-Ming Cheng
    • Organizer
      Beijing Normal University
    • Place of Presentation
      Beijing Normal University, Beijing, China
    • Year and Date
      2014-08-17
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] On the weighted area functional2014

    • Author(s)
      Qing-Ming Cheng
    • Organizer
      Nankai University
    • Place of Presentation
      Nankai University, Tianjin, China
    • Year and Date
      2014-08-07
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] The rigidity of complete self-shrinkers of the mean curvature flow2014

    • Author(s)
      Qing-Ming Cheng
    • Organizer
      South China Normal University
    • Place of Presentation
      South China Normal University, Guangzhou, China
    • Related Report
      2013 Annual Research Report
    • Invited
  • [Presentation] Self-shrinkers of mean curvature flow2014

    • Author(s)
      Qing-Ming Cheng
    • Organizer
      International Workshop on Differential Geometry 2014
    • Place of Presentation
      Hotel New Imari, Imari
    • Related Report
      2013 Annual Research Report
    • Invited
  • [Presentation] On eigenvalues of Laplace operator2014

    • Author(s)
      Qing-Ming Cheng
    • Organizer
      Guangxi Normal University
    • Place of Presentation
      Guangxi Normal University, Guilin, China
    • Related Report
      2013 Annual Research Report
    • Invited
  • [Presentation] A survey on complete self-shrinkers2014

    • Author(s)
      Qing-Ming Cheng
    • Organizer
      Beijing Normal University
    • Place of Presentation
      Beijing Normal University, Beijing, China
    • Related Report
      2013 Annual Research Report
    • Invited
  • [Presentation] Critical points of the weighted volume functional2014

    • Author(s)
      Qing-Ming Cheng
    • Organizer
      Fujian Normal Universty
    • Place of Presentation
      Fujian Normal Universty, Fuzhou, China
    • Related Report
      2013 Annual Research Report
    • Invited
  • [Presentation] Applications of universal inequalities for eigenvalues2013

    • Author(s)
      Q.-M. Cheng
    • Organizer
      Seminar on Differential Geometry of Fudan Universit
    • Place of Presentation
      Fudan University, China(招待講演)
    • Year and Date
      2013-03-15
    • Related Report
      2012 Annual Research Report
  • [Presentation] Metric measure geometry for high-dimensional spaces2013

    • Author(s)
      塩谷隆
    • Organizer
      The 5th GCOE Internal Symposium on "Weaving Science Web beyond Particle-Matter Hierarchy"
    • Place of Presentation
      東北大学(招待講演)
    • Year and Date
      2013-03-05
    • Related Report
      2012 Annual Research Report
  • [Presentation] Metric measure geometry for high-dimensional spaces2013

    • Author(s)
      塩谷隆
    • Organizer
      リーマン幾何と幾何解析
    • Place of Presentation
      筑波大学(招待講演)
    • Year and Date
      2013-02-23
    • Related Report
      2012 Annual Research Report
  • [Presentation] Eigenvalues of the eigenvalue problem of Laplacian2013

    • Author(s)
      Qing-Ming Cheng
    • Organizer
      Geometric Analysis Workshop 2013
    • Place of Presentation
      Ningxia University, Yinchuan, China
    • Related Report
      2013 Annual Research Report
    • Invited
  • [Presentation] Universal estimates for eigenvalues and applications2013

    • Author(s)
      Qing-Ming Cheng
    • Organizer
      The Sixth International Congress of Chinese Mathematics
    • Place of Presentation
      National Taiwan University, Taipei, Taiwan
    • Related Report
      2013 Annual Research Report
    • Invited
  • [Presentation] Applications of universal estimates for eigenvalues2013

    • Author(s)
      Qing-Ming Cheng
    • Organizer
      Beijing Normal University
    • Place of Presentation
      Beijing Normal University, Beijing, China
    • Related Report
      2013 Annual Research Report
    • Invited
  • [Presentation] 平均曲率フローの完備セルフーシュリンカーについて2013

    • Author(s)
      成 慶明
    • Organizer
      九州大学幾何学セミナー
    • Place of Presentation
      九州大学
    • Related Report
      2013 Annual Research Report
    • Invited
  • [Presentation] Complete self-shrinkers of the mean curvature flow2013

    • Author(s)
      Qing-Ming Cheng
    • Organizer
      The Eleventh Pacific Rim Geometry Conference
    • Place of Presentation
      Fudan University, Shanghai, China
    • Related Report
      2013 Annual Research Report
    • Invited
  • [Presentation] Universal bounds for eigenvalues of Laplacian2012

    • Author(s)
      Q.-M. Cheng
    • Organizer
      Seminar on Differential Geometry of Jeju University
    • Place of Presentation
      Jeju National University(招待講演)
    • Year and Date
      2012-05-04
    • Related Report
      2012 Annual Research Report
  • [Presentation] Estimates for eigenvalues of L on self-shrinker2012

    • Author(s)
      Q.-M. Cheng
    • Organizer
      Min International Workshop of Submanifolds and its Application
    • Place of Presentation
      Kyungpook National University, Korea(招待講演)
    • Year and Date
      2012-05-03
    • Related Report
      2012 Annual Research Report
  • [Presentation] Complete self-shrinkers of the mean curvature flow2012

    • Author(s)
      Q.-M. Cheng
    • Organizer
      Mini International Workshop of Submanifolds and its Application
    • Place of Presentation
      Kyungpook National University, Korea(招待講演)
    • Year and Date
      2012-05-03
    • Related Report
      2012 Annual Research Report
  • [Presentation] Self-shrinkers of the mean curvature flow2012

    • Author(s)
      Q.-M. Cheng
    • Organizer
      Geometry and topology of submanifolds
    • Place of Presentation
      Fujian Normal University(招待講演)
    • Related Report
      2012 Annual Research Report
  • [Presentation] Complete self-shrinkers2012

    • Author(s)
      Q.-M. Cheng
    • Organizer
      Geometry and something 2012
    • Place of Presentation
      福岡大学(招待講演)
    • Related Report
      2012 Annual Research Report
  • [Presentation] Estimates for eigenvalues of the Paneitz operator2012

    • Author(s)
      Q.-M. Cheng
    • Organizer
      The International Conference on Differential Geometry
    • Place of Presentation
      Fudan University, China(招待講演)
    • Related Report
      2012 Annual Research Report
  • [Presentation] Concentration of metric measure spaces2012

    • Author(s)
      T. Shioya
    • Organizer
      Analysis and Geometry in Metric Measure Spaces
    • Place of Presentation
      イタリア、ピサ(招待講演)
    • Related Report
      2012 Annual Research Report
  • [Book] Metric Measure Geometry --Gromov’s Theory of Convergence and Concentration of Metrics and Measures2016

    • Author(s)
      Shioya, Takashi
    • Publisher
      IRMA Lectures in Mathematics and Theoretical Physics, EMS
    • Related Report
      2015 Annual Research Report
  • [Book] Differential geometry of submanifolds and its related topics2013

    • Author(s)
      S. Maeda, Y. Ohnita and Q.-M. Cheng
    • Total Pages
      289
    • Publisher
      World Scientific
    • Related Report
      2013 Annual Research Report
  • [Remarks]

    • URL

      http://www.sm.fukuoka-u.ac.jp/~cheng/

    • Related Report
      2015 Annual Research Report
  • [Remarks] Home page of Cheng Qing-Ming

    • URL

      http://www.cis.fukuoka-u.ac.jp/~cheng/

    • Related Report
      2014 Annual Research Report
  • [Remarks]

    • URL

      http://www.sm.fukuoka-u.ac.jp/^cheng/

    • Related Report
      2012 Annual Research Report
  • [Funded Workshop] The 6th international workshop on differential geometry2016

    • Place of Presentation
      唐津市虹の松原ホテル
    • Year and Date
      2016-02-13
    • Related Report
      2015 Annual Research Report
  • [Funded Workshop] Japan-China Geometry Conference2015

    • Place of Presentation
      京都大学と奈良女子大学
    • Year and Date
      2015-09-06
    • Related Report
      2015 Annual Research Report

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Published: 2012-04-24   Modified: 2019-07-29  

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