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9780821820032

Topics in Differential Geometry

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  • ISBN13:

    9780821820032

  • ISBN10:

    0821820036

  • Format: Hardcover
  • Copyright: 2008-08-28
  • Publisher: Amer Mathematical Society

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Summary

"This book treats the fundamentals of differential geometry: manifolds, flows, Lie groups and their actions, invariant theory, differential forms and de Rham cohomology, bundles and connections, Riemann manifolds, isometric actions, and symplectic and Poisson geometry. It gives the careful reader working knowledge in a wide range of topics of modern coordinate-free differential geometry in not too many pages. A prerequisite for using this book is a good knowledge of undergraduate analysis and linear algebra."--BOOK JACKET.

Table of Contents

Manifolds and vector fields
Lie groups and group actions
Differential forms and de Rham cohomology
Bundles and connections
Riemann manifolds Isometric group actions or Riemann $G$-manifolds
Symplectic and Poisson geometry
List of symbols
Bibliography
Index
Table of Contents provided by Publisher. All Rights Reserved.

Supplemental Materials

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