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Introduction to Riemannian Manifolds

Hardcover • 2019 • 1. edition

Introduction to Riemannian Manifolds

By John M. Lee

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About the book

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.

Differential and Riemannian geometry

Book details

ISBN

9783319917542

Publisher

Springer International Publishing AG

Published year

2019

Language

Edition

1

Original title

Introduction to Riemannian Manifolds

Format

Hardcover

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