General study on curves and surfaces related to integrable systems

2008 Fiscal Year Self-evaluation Report

• Project/Area Number: 18540074
• Research Category: Grant-in-Aid for Scientific Research (C)
• Allocation Type: Single-year Grants
• Section: 一般
• Research Field: Geometry
• Research Institution: Hitotsubashi University
• Principal Investigator: FUJIOKA Atsushi Hitotsubashi University, 大学院・経済学研究科, 准教授 (30293335)
• Project Period (FY): 2006 – 2009
• Keywords: 微分幾何

Research Abstract

微分幾何に現れる曲線、曲面の中でも特に可積分系と関わるようなものに注目し研究対象とする。

Research Products

• [Journal Article] Bonnet surfaces with non-flat normal bundle in the hyperbolic four-space (2008)
  • Author(s): Atsushi Fujioka
  • Journal Title: Far East Journal of Mathematical Sciences 30 Pages: 381-387
  • Peer Reviewed
• [Journal Article] Timelike surfaces with harmonic inverse mean curvature (2008)
  • Author(s): Atsushi Fujioka and Jun-ichi Inoguchi
  • Journal Title: Advanced Studies in Pure Mathematics 51 Pages: 113-141
  • Peer Reviewed
• [Journal Article] Motions of curves in the complex hyperbola and the Burgers hierarchy (2008)
  • Author(s): Atsushi Fujioka and Takashi Kurose
  • Journal Title: Osaka Journal of Mathematics 45 Pages: 1057-1065
  • Peer Reviewed
• [Journal Article] Deformations of surfaces preserving conformal or similarity invariants (2007)
  • Author(s): Atsushi Fujioka and Jun-ichi Inoguchi
  • Journal Title: Progress in Mahtematics 252 Pages: 53-67
  • Peer Reviewed
• [Presentation] 等積中心アファイン曲線とAKNS系 (2009)
  • Author(s): 藤岡敦
  • Organizer: 福岡大学応用数学教室談話会
  • Place of Presentation: 福岡大学
  • Year and Date: 2009-02-26
• [Presentation] 複素双曲線上の閉曲線のなす空間 (2008)
  • Author(s): 藤岡敦
  • Organizer: 多様体上の幾何構造とその応用
  • Place of Presentation: 名城大学
  • Year and Date: 2008-03-08
• [Presentation] 複素双曲線上の曲線の運動 (2007)
  • Author(s): 藤岡敦
  • Organizer: 多様体上の微分方程式
  • Place of Presentation: いしかわシティカレッジ
  • Year and Date: 2007-12-10
• [Presentation] 複素双曲線上の曲線の運動と離散化 (2007)
  • Author(s): 藤岡敦
  • Organizer: 熊本大学数学談話会
  • Place of Presentation: 熊本大学
  • Year and Date: 2007-10-17
• [Presentation] 複素双曲線上の曲線の運動と離散化 (2007)
  • Author(s): 藤岡敦
  • Organizer: 福岡微分幾何研究会
  • Place of Presentation: 福岡大学
  • Year and Date: 2007-02-04
• [Presentation] 複素双曲線上の曲線の運動 (2007)
  • Author(s): 藤岡敦
  • Organizer: 部分多様体論・湯沢2007
  • Place of Presentation: 湯沢グランドホテル
  • Year and Date: 2007-01-22