# Introduction to Riemannian Manifolds

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- Book: [Introduction to Riemannian Manifolds](https://www.bookquiver.com/john-m-lee/introduction-to-riemannian-manifolds) ([Introduction to Riemannian Manifolds.md](https://www.bookquiver.com/john-m-lee/introduction-to-riemannian-manifolds.md))
- Authors: [John M. Lee](https://www.bookquiver.com/john-m-lee)
- Publisher: Springer International Publishing
- ISBN: 978-33-1991-754-2
- Pages: 437
- Published: 2019-01-14
- Language: en_US
- Binding: Hardcover

## Description

This text focuses on developing an intimate acquaintance with the geometric meaning of curvature and thereby introduces and demonstrates all the main technical tools needed for a more advanced course on Riemannian manifolds. It covers proving the four most fundamental theorems relating curvature and topology: the Gauss-Bonnet Theorem, the Cartan-Hadamard Theorem, Bonnet’s Theorem, and a special case of the Cartan-Ambrose-Hicks Theorem.