Riemannian Geometry

Covers the topics of differential manifolds, Riemannian metrics, connections, geodesics and curvature, with emphasis on the intrinsic features of the subject. This book treats classical results on the relations between curvature and topology. It features many exercises with solutions and examples to [...]
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Covers the topics of differential manifolds, Riemannian metrics, connections, geodesics and curvature, with emphasis on the intrinsic features of the subject. This book treats classical results on the relations between curvature and topology. It features many exercises with solutions and examples to illustrate definitions or properties.