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Metric Structures in Differential Geometry

Metric Structures in Differential Geometry

Name: Metric Structures in Differential Geometry

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Language: English

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The last three chapters study bundles from the point of view of metric differential geometry: Euclidean bundles, Riemannian connections, curvature, and Chern-Weil theory are discussed, including the Pontrjagin, Euler, and Chern characteristic classes of a vector bundle. This text is an introduction to the theory of differentiable manifolds and fiber bundles. The only requisites are a solid background in calculus and linear algebra. It examines bundles from the point of view of metric differential geometry: Euclidean bundles, Riemannian connections, curvature, and Chern-Weil theory are discussed, including the Pontrjagin, Euler, and Chern characteristic classes of a vector bundle. These concepts are illustrated in detail for bundles over spheres.

Metric Structures in Differential Geometry. This text is aimed to be an elementary introduction to differential geometry. It consists of six Chapters. Metric Structures in Differential Geometry. This text is an elementary introduction to differential geometry. Although it was written for a graduate-level audience, the only requisite is a solid back ground in calculus, linear algebra, and basic point-set topology. tbaytrails.com: Metric Structures in Differential Geometry (Graduate Texts in Mathematics) () by Gerard Walschap and a great selection of.

Download Citation on ResearchGate | Metric Structures in Differential Geometry | Contents Preface Chapter 1. Differentiable Manifolds 1. Basic Definitions 2. Booktopia has Metric Structures in Differential Geometry, Graduate Texts in Mathematics by Gerard Walschap. Buy a discounted Hardcover of. Metric Structures in Differential Geometry by Gerard Walschap, , available at Book Depository with free delivery worldwide.

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