Foundations of Differential Geometry, Volume 2. Wiley Classics Library

  • ID: 2172452
  • Book
  • 488 Pages
  • John Wiley and Sons Ltd
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This two–volume introduction to differential geometry, part of Wiley′s popularClassics 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
Katsumi Nomizu
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