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Metric Structures in Differential Geometry

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Gerard Walschap

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This book serves as an elementary introduction to differentiable manifolds and fiber bundles, focusing on metric differential geometry. It covers essential topics like Riemannian connections, curvature, and characteristic classes, with a strong emphasis on examples to clarify complex concepts for graduate students with a background in calculus and linear algebra.

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Metric Structures in Differential Geometry, Gerard Walschap

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Released: 2010
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Title: Metric Structures in Differential Geometry
Language: English
Authors: Gerard Walschap
Publisher: Springer / Springer New York / Springer, Berlin
Released: 2010
Format: Paperback
ISBN13: 9781441919137
Tags: Mathematics, Geometry
Rating: 3 out of 5
Description: This book serves as an elementary introduction to differentiable manifolds and fiber bundles, focusing on metric differential geometry. It covers essential topics like Riemannian connections, curvature, and characteristic classes, with a strong emphasis on examples to clarify complex concepts for graduate students with a background in calculus and linear algebra.