Description

Book Synopsis
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. This book covers a wide range of topics of modern coordinate-free differential geometry.

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.

Topics in Differential Geometry

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      Publisher: American Mathematical Society
      Publication Date: Publication Date: 30/07/2008
      ISBN13: 9780821820032, 978-0821820032
      ISBN10: 0821820036

      Description

      Book Synopsis
      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. This book covers a wide range of topics of modern coordinate-free differential geometry.

      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.

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