Transformation groups in differential geometry

Author(s)

• 小林, 昭七 コバヤシ, ショウシチ

Bibliographic Information

Transformation groups in differential geometry

Shoshichi Kobayashi

（Ergebnisse der Mathematik und ihrer Grenzgebiete, Bd. 70）

Springer-Verlag, 1972

• : gw
• : us

Note

Bibliography: p. [160]-180

Includes index

Description and Table of Contents

Description

Given a mathematical structure, one of the basic associated mathematical objects is its automorphism group. The object of this book is to give a biased account of automorphism groups of differential geometric struc tures. All geometric structures are not created equal; some are creations of ods while others are products of lesser human minds. Amongst the former, Riemannian and complex structures stand out for their beauty and wealth. A major portion of this book is therefore devoted to these two structures. Chapter I describes a general theory of automorphisms of geometric structures with emphasis on the question of when the automorphism group can be given a Lie group structure. Basic theorems in this regard are presented in 3, 4 and 5. The concept of G-structure or that of pseudo-group structure enables us to treat most of the interesting geo metric structures in a unified manner. In 8, we sketch the relationship between the two concepts. Chapter I is so arranged that the reader who is primarily interested in Riemannian, complex, conformal and projective structures can skip 5, 6, 7 and 8. This chapter is partly based on lec tures I gave in Tokyo and Berkeley in 1965."

by "Nielsen BookData"

Details

• NCID: BA00035541
• ISBN:
  • 3540058486
  • 0387058486
• LCCN: 72080361
• Country Code: gw
• Title Language Code: eng
• Text Language Code: eng
• Place of Publication: Berlin
• Pages/Volumes: viii, 182 p.
• Size: 24 cm
• Classification:
  • LCC : QA649
  • DC : 516/.362
• Subject Headings:
  • LCSH : Geometry, Differential
  • LCSH : Transformation groups
• Parent Bibliography ID:
  • BA00035552