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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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Année de publication: 2010
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Titre: Metric Structures in Differential Geometry
Langue: Anglais
Auteurs: Gerard Walschap
Éditeur: Springer / Springer New York / Springer, Berlin
Publié: 2010
Format: souple
ISBN13: 9781441919137
Mots clés: Mathématiques, Géométrie
Évaluation: 3 sur 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.