Researcher Database

KOBAYASHI Shimpei
Faculty of Science Mathematics Mathematics
Associate Professor

Researcher Profile and Settings

Affiliation

  • Faculty of Science Mathematics Mathematics

Job Title

    Associate Professor

URL

Research Interests

  • flat surface   spacelike surfaces   Euclidean 3-space   hyperbolic 3-space   de Sitter 3-space   flat surfaces   constant mean curvature   Minkowski 3-space   spacelike surface   Surfaces theory   

Research Areas

  • Mathematics / Geometry

Research Activities

Published Papers

MISC

  • Shoichi Fujimori, Shimpei Kobayashi, Wayne Rossman  Rokko Lectures in Mathematics 17, October 2005  2006/02   [Not refereed] [Not invited]  Institution technical report and pre-print, etc.  
    This is an elementary introduction to a method for studying harmonic maps into symmetric spaces, and in particular for studying constant mean curvature (CMC) surfaces, that was developed by J. Dorfmeister, F. Pedit and H. Wu. There already exist a number of other introductions to this method, but all of them require a higher degree of mathematical sophistication from the reader than is needed here. The authors' goal was to create an exposition that would be readily accessible to a beginning graduate student, and even to a highly motivated undergraduate student. Constant mean curvature surfaces in Euclidean 3-space, and also spherical 3-space and hyperbolic 3-space, are described, along with the Lax pair equations that determine their frames. The simplest examples, including Delaunay surfaces and Smyth surfaces, are described in detail.

Educational Activities

Teaching Experience

  • Exercises on Geometry
    開講年度 : 2017
    課程区分 : 学士課程
    開講学部 : 理学部
    キーワード : 多様体,ホモロジー
  • Vector Analysis
    開講年度 : 2017
    課程区分 : 学士課程
    開講学部 : 理学部
    キーワード : ベクトル場,スカラー場,発散,回転,勾配,線積分,面積分,発散定理,ストークスの定理
  • Geometry A
    開講年度 : 2017
    課程区分 : 学士課程
    開講学部 : 理学部
    キーワード : 多様体, 可微分写像、ベクトル場、微分形式
  • Mathematics 4
    開講年度 : 2017
    課程区分 : 学士課程
    開講学部 : 理学部
    キーワード : ベクトル場,スカラー場,発散,回転,勾配,線積分,面積分,発散定理,ストークスの定理
  • Linear Algebra I
    開講年度 : 2017
    課程区分 : 学士課程
    開講学部 : 全学教育
    キーワード : 連立1次方程式, 逆行列, 固有値, 固有ベクトル
  • Introductory Linear Algebra
    開講年度 : 2017
    課程区分 : 学士課程
    開講学部 : 全学教育
    キーワード : 連立1次方程式, 逆行列, 固有値, 固有ベクトル


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