Foundations of differential geometry

Author(s)

• 小林, 昭七 コバヤシ, ショウシチ
• 野水, 克己 ノミズ, カツミ

Bibliographic Information

Foundations of differential geometry

Shoshichi Kobayashi and Katsumi Nomizu

（Wiley classics library）

John Wiley & Sons, 1996

Wiley classics library ed

• v. 1
• v. 2

Note

"A Wiley-Interscience publication."

Includes bibliographical references (1: p. 315-323, 2: p. 387-454) and indexes

Description and Table of Contents

Volume

v. 2 ISBN 9780471157328

Description

This two-volume introduction to differential geometry, part of Wiley's popular Classics Library, lays the foundation for understanding an area of study that has become vital to contemporary mathematics. It is completely self-contained and will serve as a reference as well as a teaching guide. Volume 1 presents a systematic introduction to the field from a brief survey of differentiable manifolds, Lie groups and fibre bundles to the extension of local transformations and Riemannian connections. The second volume continues with the study of variational problems on geodesics through differential geometric aspects of characteristic classes. Both volumes familiarize readers with basic computational techniques.

Table of Contents

Submanifolds. Variations of the Length Integral. Complex Manifolds. Homogeneous Spaces. Symmetric Spaces. Characteristic Classes. Appendices. Notes. Bibliography. Summary of Basic Notations. Index.

Volume

v. 1 ISBN 9780471157335

Description

This two-volume introduction to differential geometry, part of Wiley's popular Classics Library, lays the foundation for understanding an area of study that has become vital to contemporary mathematics. It is completely self-contained and will serve as a reference as well as a teaching guide. Volume 1 presents a systematic introduction to the field from a brief survey of differentiable manifolds, Lie groups and fibre bundles to the extension of local transformations and Riemannian connections. The second volume continues with the study of variational problems on geodesics through differential geometric aspects of characteristic classes. Both volumes familiarize readers with basic computational techniques.

Table of Contents

Differentiable Manifolds. Theory of Connections. Linear and Affine Connections. Riemannian Connections. Curvature and Space Forms. Transformations. Appendices. Notes. Summary of Basic Notations. Bibliography. Index.

by "Nielsen BookData"

Details

• NCID: BA28517141
• ISBN:
  • 0471157333
  • 0471157325
• LCCN: 96135215
• Country Code: us
• Title Language Code: eng
• Text Language Code: eng
• Place of Publication: New York
• Pages/Volumes: 2 v.
• Size: 23 cm
• Classification:
  • LCC : QA641
  • DC20 : 516.3/6
  • NDC8 : 414.7
• Subject Headings:
  • LCSH : Geometry, Differential
  • LCSH : Topology
• Parent Bibliography ID:
  • BA0437390X