Description

Book Synopsis
Suitable for second-year graduate students, this title is intended as an introduction to differential geometry with principal emphasis on Riemannian geometry. It explains basic definitions and gives the proofs of the important theorems of Whitney and Sard. It also deals with vector fields and differential forms.

Table of Contents
Background material Differentiable manifolds Tangent space Integration of vector fields and differential forms Linear connections Riemannian manifolds The Yamabe problem-An introduction to research Bibliography Subject index Notation.

A Course in Differential Geometry

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    A Hardback by American Mathem American Mathem

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      View other formats and editions of A Course in Differential Geometry by American Mathem American Mathem

      Publisher: MP-AMM American Mathematical
      Publication Date: 12/30/2000 12:00:00 AM
      ISBN13: 9780821827093, 978-0821827093
      ISBN10: 082182709X

      Description

      Book Synopsis
      Suitable for second-year graduate students, this title is intended as an introduction to differential geometry with principal emphasis on Riemannian geometry. It explains basic definitions and gives the proofs of the important theorems of Whitney and Sard. It also deals with vector fields and differential forms.

      Table of Contents
      Background material Differentiable manifolds Tangent space Integration of vector fields and differential forms Linear connections Riemannian manifolds The Yamabe problem-An introduction to research Bibliography Subject index Notation.

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