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Introduction to Riemannian manifolds (Corrected version of second edition)

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Author(s): Lee, John M
Series: Graduate texts in mathematics 176
Edition: 2
Publisher: Springer Nature
Year: 2018

Language: English
Commentary: 90% Corrected version of second edition unofficially

Preface
Exercises and Problems
About the Second Edition
Acknowledgements
Contents
1 What Is Curvature?
2 Riemannian Metrics
3 Model Riemannian Manifolds
4 Connections
5 The Levi-Civita Connection
6 Geodesics and Distance
7 Curvature
8 Riemannian Submanifolds
9 The Gauss–Bonnet Theorem
10 Jacobi Fields
11 Comparison Theory
12 Curvature and Topology
A Review of Smooth Manifolds
B Review of Tensors
C Review of Lie Groups
References
Notation Index
Subject Index