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Foundations of Differential Geometry, Volume 2. Edition No. 1. Wiley Classics Library

  • ID: 2172452
  • Book
  • March 1996
  • 488 Pages
  • John Wiley and Sons Ltd
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.
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Submanifolds.

Variations of the Length Integral.

Complex Manifolds.

Homogeneous Spaces.

Symmetric Spaces.

Characteristic Classes.

Appendices.

Notes.

Bibliography.

Summary of Basic Notations.

Index.
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Shoshichi Kobayashi University of California, Berkeley.

Katsumi Nomizu Brown University, Providence, Rhode Island.
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