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2010 Fiscal Year Self-evaluation Report

Study of asymptotics of surfaces using integrable systems, conserved quantities and transformation theory

Research Project

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Project/Area Number 20340012
Research Category

Grant-in-Aid for Scientific Research (B)

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

Principal Investigator

W.F Rossman  Kobe University, 理学研究科, 教授 (50284485)

Project Period (FY) 2008 – 2011
Keywordsconstant mean curvature surfaces / flat surfaces / linear Weingarten surfaces / 3-dimensional space forms / Moebius geometry / Lie sphere geometry / Weierstrass type representations / asymptotics of surfaces
Research Abstract

我々の研究の目的は以下のとおりである。
1)特別な性質をもつ曲面の特異点と漸近挙動を調べる。
2)曲面理論の微分幾何学的性質をもつような離散化をより深く理解する。
研究方法に関して、上記の二つの研究目的のそれぞれについて代表者、分担者および連携研究者がそれぞれの研究を行うとともに、得られた成果の相互理解を図るために、セミナーや研究連絡を行う。適宜、国外の研究者とも連携し研究を推進する。

  • Research Products

    (8 results)

All 2011 2010 2009 2008 Other

All Journal Article (4 results) (of which Peer Reviewed: 4 results) Presentation (3 results) Remarks (1 results)

  • [Journal Article] Lie geometry of flat fronts in hyperbolic space2010

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

      Comptes rendus-Mathematique Ser 1 348

      Pages: 661-664

    • Peer Reviewed
  • [Journal Article] The tt* structure of the quantum cohomology of CP1 from the viewpoint of differential geometry2010

    • Author(s)
      J. Dorfmeister, M.Guest, W.Rossman
    • Journal Title

      Asian J.Math. 14(3)

      Pages: 417-437

    • Peer Reviewed
  • [Journal Article] Spacelike mean curvature 1 surfaces in de Sitter 3-space2009

    • Author(s)
      S.Fujimori, W.Rossman, M.Umehara, S-D.Yang, K.Yamada
    • Journal Title

      Comm.Anal.Geom. 17

      Pages: 383-427

    • Peer Reviewed
  • [Journal Article] Delaunay ends of constant mean curvature surfaces2008

    • Author(s)
      M.Kilian, W.Rossman, N.Schmitt
    • Journal Title

      Compositio Math. 144

      Pages: 186-220

    • Peer Reviewed
  • [Presentation] Surfaces with Weierstrass representations and Lie sphere geometry2011

    • Organizer
      geometry seminar
    • Place of Presentation
      King's College, England.
    • Year and Date
      2011-02-10
  • [Presentation] Conserved quantities in surface theory2010

    • Organizer
      TIMS-OCAMI joint workshop on differential geometry
    • Place of Presentation
      National Taiwan University.
    • Year and Date
      2010-03-21
  • [Presentation] Discrete isothermic surfaces, and applications to architecture2009

    • Organizer
      Discrete differential geometry miniworkshop
    • Place of Presentation
      Technical University of Denmark.
    • Year and Date
      2009-07-16
  • [Remarks] ホームページ等

    • URL

      http://math.kobe-u.ac.jp/home-j/wayne.html

URL: 

Published: 2012-02-13   Modified: 2016-04-21  

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