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Study of Discrete Subgroups of Rank 1 Simple Groups by Geometric Methods

Research Project

Project/Area Number 13440019
Research Category

Grant-in-Aid for Scientific Research (B)

Allocation TypeSingle-year Grants
Section一般
Research Field Geometry
Research InstitutionNagoya University

Principal Investigator

NAYATANI Shin  Nagoya University, Graduate School of Mathematics, Associate Professor, 大学院・多元数理科学研究科, 助教授 (70222180)

Co-Investigator(Kenkyū-buntansha) EJIRI Norio  Nagoya Institute of Technology, Shikumi domain, Professor, しくみ領域, 教授 (80145656)
KOBAYASHI Ryoichi  Nagoya University, Graduate School of Mathematics, Professor, 大学院・多元数理科学研究科, 教授 (20162034)
OHTA Hiroshi  Nagoya University, Graduate School of Mathematics, Associate Professor, 大学院・多元数理科学研究科, 助教授 (50223839)
IZEKI Hiroyasu  Tokoku University, Graduate School of Science, Associate Professor, 大学院・理学研究科, 助教授 (90244409)
ITO Kentaro  Nagoya University, Graduate School of Mathematics, Research Associate, 大学院・多元数理科学研究科, 助手 (00324400)
中西 敏浩  名古屋大学, 大学院・多元数理科学研究科, 助教授 (00172354)
Project Period (FY) 2001 – 2004
Project Status Completed (Fiscal Year 2004)
Budget Amount *help
¥11,800,000 (Direct Cost: ¥11,800,000)
Fiscal Year 2004: ¥2,300,000 (Direct Cost: ¥2,300,000)
Fiscal Year 2003: ¥2,800,000 (Direct Cost: ¥2,800,000)
Fiscal Year 2002: ¥3,200,000 (Direct Cost: ¥3,200,000)
Fiscal Year 2001: ¥3,500,000 (Direct Cost: ¥3,500,000)
Keywordsfixed point theorem / quaternionic CR structure / minimal surface / lemma of logarithmic derivative / SL(2,C) representation space / crystal lattice / symplectic filling / deformation space of q.Fuchsian group / 四元数CR幾何 / 双曲多様体 / 磁場付き推移作用素 / A_∞代数 / フレアーコホモロジー / レヴィ形式 / 実超曲面 / 標準ケーラー計量 / 磁場的推移作用素 / 擬フックス群 / 特異3次元トーラス / 四元数多様体 / 格子の剛性 / 調和写像 / 有理型写像 / 大偏差原理 / 組合せ調和写像 / 超剛性 / 値分布論 / 離散群の表現 / シンプレクティック多様体
Research Abstract

Shin Nayatani and Hiroyasu Izeki studied combinatorial harmonic map theory and its application to super-rigidity and fixed point theorem, and proved fixed point theorems for isometric actions of discrete groups on CAT(O) spaces. Shin Nayatani and HIroyuku Kamada studied quaternionic CR geometry, and clarified the representation-theoretic meaning of the canonical pseudohermitian connection.
Norio Ejiri studied the existence problem for non-area-minimizing stable minimal surface of genus g in 2g-dimensional flat tori, and proved that there exists a non-holomorphic stable minimal surface of genus【greater than or equal】4 in a certain 8-dimensional torus.
Ryoichi Kobayashi srudied the construction of geometric theory of Diophantine approximation as discretization of the Nevanlinna theory, and showed that the lemma of logarithmic derivative for holomorphic curves in protective algebraic varieties hold always with the same form.
Toshihiro Nakanishi introduced a parameter complexifying R.C.Penner … More 's λ length on the spaces of equivalence classes of faithful representations from surface groups into SL(2,C) mapping homotopy classes of boundary components to parabolic elements. Using this he succeeded in representing the mapping class groups as groups of rational transformations.
Motoko Kotani studied the large deviation of the random walk on a crystal lattice, that is, an infinite graph on which an abelian group acts and its geometric meaning. She determined asymptotic terms and clarified the relation between the rate function representing decay order and the tangent cone at infinity of a crystal lattice.
Hiroshi Ohta completely determined the deformation classes of symplectic fillings of the links of simple singularities and simple elliptic singularities. He also studied the obstruction and deformation theories of the Floer cohomology using filtered A_∞ algebras.
Takeshi Sato obtained some new algorithms to compute the value of π using various modular functions.
Hiroyuki Kamada studied compact complex surfaces admitting scalar flat Kahler metrics, and characterized the product of complex projective lines in terms of the existence of such metrics with a certain type of symmetry.
Kentaro Ito studied the boundary behavior of the deformation space of quasi-Fuchsian groups by means of the holonomy representations of projective structures on surfaces. He proved that Goldman's grafting theorem holds for the boundary groups by showing a certain kind of continuity and discreteness, thus resolving Bromberg's conjecture. Less

Report

(5 results)
  • 2004 Annual Research Report   Final Research Report Summary
  • 2003 Annual Research Report
  • 2002 Annual Research Report
  • 2001 Annual Research Report
  • Research Products

    (77 results)

All 2005 2004 2003 2002 2001 Other

All Journal Article (44 results) Book (1 results) Publications (32 results)

  • [Journal Article] Compact scalar-flat indefinite kahler surfaces with Hamiltonian S^1-symmetry2005

    • Author(s)
      鎌田博行
    • Journal Title

      Commun.Math.Phys. 254

      Pages: 23-44

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Compact scalar-flat indefinite Kahler surfaces with Hamiitonian S^1-symmetry2005

    • Author(s)
      Hiroyuki Kamada
    • Journal Title

      Commun.Math.Phys. 254

      Pages: 23-44

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Compact scalar-fiat indefinite Kahler surfaces with Hamiltonian S^1-symmetry2005

    • Author(s)
      鎌田 博行
    • Journal Title

      Commun.Math.Phys. 254

      Pages: 23-44

    • Related Report
      2004 Annual Research Report
  • [Journal Article] Complexification of Lambda Length as Parameter for SL(2,C) Representation Space of Punctured Surface Groups2004

    • Author(s)
      中西敏浩, M.Naatanen
    • Journal Title

      J.London Math.Soc. 70

      Pages: 383-404

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] An asymptotic of the large deviation for random walks on a crystal lattice2004

    • Author(s)
      小谷元子
    • Journal Title

      Contemporary Math. 347

      Pages: 141-152

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Complexification of Lambda Length as Parameter for SL(2,C) Representation Space of Punctured Surface Groups2004

    • Author(s)
      Toshihiro Nakanishi, Marjatta Naatanen
    • Journal Title

      J.London Math.Soc. 70

      Pages: 383-404

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] An asymptotic of the large deviation for random walks on a crystal lattice2004

    • Author(s)
      Motoko Kotani
    • Journal Title

      Contemporary Math. 347

      Pages: 141-152

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Complexification of Lambda Length as Parameter for SL(2,C) Representation Space of Punctured Surface Groups2004

    • Author(s)
      中西敏浩, Marjatta Naatanen
    • Journal Title

      J.London Math.Soc. 70

      Pages: 383-404

    • Related Report
      2004 Annual Research Report
  • [Journal Article] An asymptotic of the large deviation for random walks on a crystal lattice2004

    • Author(s)
      小谷 元子
    • Journal Title

      Contemporary Math. 347(to appear)

      Pages: 141-152

    • Related Report
      2004 Annual Research Report
  • [Journal Article] Spectral geometry of crystal lattices2003

    • Author(s)
      小谷元子, 砂田利一
    • Journal Title

      Contemporary Math. 338

      Pages: 271-305

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Lipschitz continuity of the spectra of the magnetic transition operators on a crystal lattice2003

    • Author(s)
      小谷元子
    • Journal Title

      J.Geom.Phys. 47

      Pages: 323-342

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Symplectic fillings of the link of simple elliptic singularities2003

    • Author(s)
      太田啓史, 小野薫
    • Journal Title

      J.Reine Angew.Math. 565

      Pages: 183-205

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Schottky groups and Bers boundary of Teichmuller Space2003

    • Author(s)
      糸 健太郎
    • Journal Title

      Osaka J.Math. 40

      Pages: 639-657

    • NAID

      120005986971

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Spectral geometry of crystal lattices2003

    • Author(s)
      Motoko Kotani, Toshikazu Sunada
    • Journal Title

      Contemporary Math. 338

      Pages: 271-306

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Lipscitz continuity of the spectra of the magnetic transition operators on a crystal lattice2003

    • Author(s)
      Motoko Kotani
    • Journal Title

      J.Geom.Phys. 47

      Pages: 323-342

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Symplectic fillings of the link of simple elliptic singularities2003

    • Author(s)
      Hiroshi Ohta, Kaoru Ono
    • Journal Title

      J.Reine Angew.Math. 565

      Pages: 183-205

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Schottky groups and Bers boundary of Teichmuller space2003

    • Author(s)
      Kentaro Ito
    • Journal Title

      Osaka J.of Math. 40

      Pages: 639-657

    • NAID

      120005986971

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] A differential geometric Schottky problem, and minimal surfaces in tori2002

    • Author(s)
      江尻典雄
    • Journal Title

      Contemporary Math. 308

      Pages: 101-144

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] A central limit theorem for magnetic transition operators on a crystal lattice2002

    • Author(s)
      小谷元子
    • Journal Title

      J.London. Math.Soc. 65

      Pages: 464-482

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Brieskorn manifolds and metrics of positive scalar curvature2002

    • Author(s)
      太田啓史
    • Journal Title

      Advanced Studies Pure Math. 34

      Pages: 231-236

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Convex-cocompactness of Kleinian groups and conformally flat manifolds with positive scalar curvature2002

    • Author(s)
      井関裕靖
    • Journal Title

      Proc.Amer.Math.Soc. 130

      Pages: 3731-3740

    • NAID

      120002069924

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] A dfferential-geometric Schottky problem, and minimal surfaces in tori2002

    • Author(s)
      Norio Ejiri
    • Journal Title

      Contemporary Math. 308

      Pages: 101-144

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] A central limit theorem for magnetic transition operators on a crystal lattice2002

    • Author(s)
      Motoko Kotani
    • Journal Title

      J.London Math.Soc. 65

      Pages: 464-482

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Brieskorn manifolds and metrics of positive scalar curvature2002

    • Author(s)
      Hiroshi Ohta
    • Journal Title

      Advance Studies Pure Math. 34

      Pages: 231-236

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Convex-cocompactness of Kleinian groups and conformally flat manifolds with positive scalar curvature2002

    • Author(s)
      Hiroyasu Izeki
    • Journal Title

      Proc.Amer.Math. 130

      Pages: 3731-3740

    • NAID

      120002069924

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Quaternionic analogue of CR geometry2001

    • Author(s)
      納谷 信, 鎌田博行
    • Journal Title

      Seminaire de theorie spectrale et geometrie 19

      Pages: 41-52

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Areas of two-dimensional moduli spaces2001

    • Author(s)
      中西敏浩, M.Naatanen
    • Journal Title

      Proc.Amer.Math.Soc. 129

      Pages: 3241-3252

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] A note on asymptotic expansions for closed geodesics in homology classes2001

    • Author(s)
      小谷元子
    • Journal Title

      Math.Ann. 320

      Pages: 507-529

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] The pressure and higher correlations for an Anosov diffeomorphism2001

    • Author(s)
      小谷元子, 砂田利一
    • Journal Title

      Ergod.Th.Dynam.Sys. 21

      Pages: 807-821

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Quaternionic analogue of CR geometry2001

    • Author(s)
      Shin Nayatani, Hiroyuki Kamada
    • Journal Title

      Seminaire de theorie spectrale et geometric 19

      Pages: 41-52

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Areas of Twodimensional Moduli Spaces2001

    • Author(s)
      Toshihiro Nakanishi, Marjatta Naatanen
    • Journal Title

      Proc.Amer.Math.Soc. 129

      Pages: 3241-3252

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] A note on asymptotic expansions for closed geodesies in homology classes2001

    • Author(s)
      Motoko Kotani
    • Journal Title

      Math.Ann. 320

      Pages: 507-529

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] The pressure and higher correlations for an Anosov diffeomorphism2001

    • Author(s)
      Motoko Kotani, Toshikazu Sunada
    • Journal Title

      Ergod.Th.Dynam.Sys. 21

      Pages: 807-821

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Combinatorial harmonic maps and discrete-group actions on Hadamard spaces

    • Author(s)
      納谷 信, 井関裕靖
    • Journal Title

      Geom.Dedicata (to appear)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Combinatorial harmonic maps and discrete-group actions on Hadamard space

    • Author(s)
      Shin Nayatani, Hiroyasu Izeki
    • Journal Title

      Geom.Dedicata. (to appear)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Combinatorial harmonic maps and discrete-group actions on Hadamard space

    • Author(s)
      納谷 信, 井関裕靖
    • Journal Title

      Geom.Dedicata (to appear)

    • Related Report
      2004 Annual Research Report
  • [Journal Article] 調和写像と剛性

    • Author(s)
      納谷 信
    • Journal Title

      Surveys in Geometry, Special Edition報告集 (掲載予定)

    • Related Report
      2004 Annual Research Report
  • [Journal Article] Lemma on logarithmic derivative for the Gauss map of algebraic minimal surfaces in R^〓

    • Author(s)
      小林亮一, 宮岡礼子
    • Journal Title

      Proc.COE Symposium, Kyushu University (to appear)

    • Related Report
      2004 Annual Research Report
  • [Journal Article] 対数微分の補題から見たNevanlinna理論

    • Author(s)
      小林亮一
    • Journal Title

      Surveys in Geometry, Special Edition報告集 (掲載予定)

    • Related Report
      2004 Annual Research Report
  • [Journal Article] An attempt toward Diophantine analogue of ramification counting in Nevanlinna theory

    • Author(s)
      小林亮一
    • Journal Title

      京大数理研講究録「代数的整数とその周辺」(森下昌紀編) (掲載予定)

    • Related Report
      2004 Annual Research Report
  • [Journal Article] Discrete geometrical analysis from the viewpoint of crystal lattices

    • Author(s)
      小谷 元子
    • Journal Title

      Sugaku Expsitions (to appear)

    • Related Report
      2004 Annual Research Report
  • [Journal Article] Simple singularities and symplectic fillings

    • Author(s)
      太田啓司, 小野薫
    • Journal Title

      J.Diff.Geom. (to appear)

    • Related Report
      2004 Annual Research Report
  • [Journal Article] Symplectic 4-manifolds containing singular rational curves with (2,3)-cusp

    • Author(s)
      太田啓司, 小野薫
    • Journal Title

      Seminaries et Congres, Soc.Math.France (to appear)

    • Related Report
      2004 Annual Research Report
  • [Journal Article] Grafting and components of quasi-fuchsian projective structures

    • Author(s)
      糸 健太郎
    • Journal Title

      the Proceedings of the Conference on Spaces of Kleinian Groups, (Cambridge, 2003), London Math.Soc. (to appear)

    • Related Report
      2004 Annual Research Report
  • [Book] 21世紀の数学-幾何学の未踏峰-,調和写像と超剛性2004

    • Author(s)
      井関裕靖
    • Total Pages
      15
    • Publisher
      日本評論社
    • Related Report
      2004 Annual Research Report
  • [Publications] 納谷 信, 井関裕靖: "組合せ調和写像と超剛性-SINGULAR TARGETの場合"数理解析研究所講究録. 1329. 1-7 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] 小林 亮一: "Truncated counting functions for holomorphic curves in Abelian varieties"Proc., Complex Geometry Tokyo 2002. (to appear)(発表予定).

    • Related Report
      2003 Annual Research Report
  • [Publications] 小林 亮一: "Truncated counting function in the Schmidt Subspace Theorem"Proc., SCV Hayama 2002. (to appear)(発表予定).

    • Related Report
      2003 Annual Research Report
  • [Publications] 小谷 元子: "Lipschitz continuity of the spectra of the magnetic transition operators on a crystal lattice"J.Geom.Phys.. 47. 323-342 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] 太田啓史, 小野薫: "Symplectic filling of the link of simple elliptic singularities"J.Reine.Angew.Math.. 565. 183-205 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] 鎌田 博行: "Time-like killing vector fields on compact indefinite kahler surfaces"Proc., Complex structures and vector fields. (to appear)(発表予定).

    • Related Report
      2003 Annual Research Report
  • [Publications] 糸 健太郎: "Schottky groups and Bers boundary of Teichmuller space"Osaka J.Math.. 40. 639-657 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] 納谷信: "四元数CR幾何"LNS Math., Osaks Univ.. 7. 233-253 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] 納谷 信, 井関裕靖: "組合せ調和写像と超剛性"数理解析研究所講究録. 1270. 182-194 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] 江尻典雄: "A differential-qeometnz Schottby problem, and minimal surfaces in to"Comten porary Math.. 308. 101-144 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] 小林亮一: "Truncated counting function for holomorphic curves in Abelian varieties"Proc., Complex geometry Tokyo 2002. (to appear).

    • Related Report
      2002 Annual Research Report
  • [Publications] 小林亮一: "Truncated counting function in the Schmidt Subspau Theorem"Proc. SCV Hayama 2002. (to appear).

    • Related Report
      2002 Annual Research Report
  • [Publications] 小林亮一: "Toward Nevaliuna theory as a gemetrz model for Diophantive approximation"Sugaku Exp. AMS.

    • Related Report
      2002 Annual Research Report
  • [Publications] 小谷元子: "A central limit theorem for magnetic transition operators as a Crystal lattice"J. London Math. Soc.. 65. 464-482 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] 小谷元子: "Lipschirz continuity of the spectra of the magnetic transition operators on a crystal lathice"J. Geom. Phys.. (to appear).

    • Related Report
      2002 Annual Research Report
  • [Publications] 小谷元子, 砂田利一: "Geometrical aspect of large diviation for vandom walks on a crystal lathice"Microlocal Andysis and Fourin Analysis. 186-199 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] 小谷元子: "結晶格子を通してみる離散幾何解析"数学. 54-4. (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] 太田哲史: "Brislcorn manifold and metric of positvine scalar curvature"Adv. Stud. Pure Math.. 34. 231-236 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] 太田啓史, 小野薫: "Symplectic fillings of the link of simple elliptic singularities"J. Reine Angew. Math.. (in press).

    • Related Report
      2002 Annual Research Report
  • [Publications] 井関裕靖: "Couvex-cocoupactiveos of kleinian groups and confornmally flat manifolds"Proc. AMS. 130. 3731-3740 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] 鎌田博行: "Self-dual kahlen metrics of neutral cignature on complex surfaus"Tohoku Math. Publ.. 24. (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] 鎌田博行: "Time-like killing vector fields on compact indefinite kihlen surfaus"Proc, Complex structures and vector fields. (to appear).

    • Related Report
      2002 Annual Research Report
  • [Publications] 納谷信, 鎌田博行: "Quaternionic analogue of CR geometry"Seminaire de theorie spectrale et geometrie, GRENOBLE. 19. 41-52 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] 小林亮一: "Method of integral geometry in Nevanlinna theory, lemma on logarithmic derivative and a program toward the second main theorem"AMS Sugaku Exposition. (to appear).

    • Related Report
      2001 Annual Research Report
  • [Publications] 中西敏浩, Marjatta Naatanen: "Areas of two-dimensional moduli spaces"Proc. Amer. Math. Soc.. 129. 3241-3252 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] 小谷元子: "A note on asymptotic expansions for closed geodesics in homology classes"Math. Ann.. 320. 507-529 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] 小谷元子, 砂田利一: "The pressure and higher correlations for an Anosov diffeomorphism"Ergodic Theory Dynam. Systems. 21. 807-821 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] 太田啓史: "Brieskorn manifolds and metrics of positive scalar curvatur"Advance Studies Pure Math.. (to appear).

    • Related Report
      2001 Annual Research Report
  • [Publications] 太田啓史: "Obstruction to and deformation of Lagrangian intersection Floer cohomology"Proceedings of KIAS workshop on "Symplectic Geometry and Mirror Symmetry", World Scientific. (to appear).

    • Related Report
      2001 Annual Research Report
  • [Publications] 井関裕靖: "Convex-cocompactness of Kleinian groups and conformally flat manifolds with positive scalar curvature"Proc. Amer. Math. Soc.. (to appear).

    • Related Report
      2001 Annual Research Report
  • [Publications] 鎌田博行: "Indefinite analogue of hyperbolic ansatz and its application"Tohoku Math. Publ.. 20. 69-73 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] 糸健太郎: "Exotic projective structures and quasi-Fuchsian space"Duke Math. J.. (to appear).

    • Related Report
      2001 Annual Research Report

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Published: 2001-04-01   Modified: 2016-04-21  

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