What Is Curvature?.- Review of Tensors, Manifolds, and Vector Bundles.- Definitions and Examples of Riemannian Metrics.- Connections.- Riemannian Geodesics.- Geodesics and Distance.- Curvature.- Riemannian Submanifolds.- The Gauss-Bonnet Theorem.- Jacobi Fields.- Curvature and Topology.
Springer Book Archives
"This book is very well writen, pleasant to read, with many good
illustrations. It deals with the core of the subject, nothing more
and nothing less. Simply a recommendation for anyone who wants to
teach or learn about the Riemannian geometry."
Nieuw Archief voor Wiskunde, September 2000
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