Mathematical Seminar (February 2013), A Special Issue in honor of Shoshichi Kobayashi

日本語訳

The February 2013 issue of Journal “Mathematical Seminar” is a special issue in honor of Prof. Shoshichi Kobayashi of U.C. Berkeley, who unexpectedly passed away on August 29, 2012. This issue traces the achievements of Prof. Kobayashi since his early days, whose contributions to differential geometry and the theory of complex manifolds have been internationally well recognized, and influenced many mathematicians not only in Japan but also in the world.

SuugakuSeminarMathematical Seminar, February 2013 ● Special Issue on Shoshichi Kobayashi

Table of Contents

[Critical Biography] Recollection of Prof. Shoshichi Kobayashi―Takushiro Ochiai

    1. Fortune to encounter good teachers and friends
    2. Great creation
    3. Transparent mathematical philosophy
    4. During my personal acquaintance of nearly fifty years

Remembering my big brother Shoshichi―Hisashi Kobayashi

My fiend Shoshichi Kobayashi―Akio Hattori

Memory of my friend Shoshichi Kobayashi―Ichiro Satake，

Some conjecture and solution in the Kähler geometry―Keizo Hasegawa

  1. Definition of the Kähler Structure
  2. Examples of compact Kähler manifolds and non- Kähler manifold
  3. Hodge’s theory and rational homotopy theory
  4. The Kähler structure on compact solvable manifolds
  5. Prof. Shoshichi Kobayashi and Berkeley

From theory of curved surfaces to differential geometry ― Yoshiaki Maeda

  1. Theory of curved surfaces
  1. From curved surface pieces to global surfaces
  1. Understanding of geometric symmetry
  2. From curved surfaces to differentiable manifolds
  3. Final words

Holomorphic Mappings and Complex Manifolds: Kobayashi’s Metric― Junjiro Noguchi

  • Kobayashi hyperbolicity and Lang’s conjecture
  • Kobayashi’s conjecture, etc.
  • Conclusion

Geometry with Spacious Symmetry―Makiko Tanaka

  • Preamble
  • Symmetric Spaces
  • Tadashi Nagano, Shoshichi Kobayashi and Masaru Takeuchi
  • Symmetric R-spaces
  • “Taiseki” Set and two-number
  • Concluding remarks

Achievements and Legacies of Prof. Shoshichi Kobayashi: Kobayashi-Hitchen Correspondence―Toshiki Mabuchi

1 Achievements of Prof. Kobayashi

  1. Frankel’s conjecture and Kobayashi-Ochiai’s characterization of complex projective spaces
  2. Kobayashi-Hitchen correspondence in vector bundle
  3. Kobayashi-Hitchen correspondence in manifolds
  4. Articles and books by Prof. Kobayashi

[Republication]　My teachers, friends, and mathematics: My student days in America ―Shoshichi Kobayashi

  • Completing my study in France
  • To America
  • Mr. Edward Kobayashi
  • Prof. Carl Allendoerfer
  • Dr. H.C. Wang
  • Prof. Bergman and others
  • Summer Institute for differential geometry
  • Engagement

A copy can be purchased in major book stores or through “Nippon Hyoron sha“, or from amazon.co.jp.