Introduction to Riemannian Manifolds

by John M. Lee

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 the Gauss-Bonnet Theorem, the Cartan-Hadamard Theorem, Bonnet’s Theorem, and a special case of the Cartan-Ambrose-Hicks Theorem.

Genres: Mathematics

452 pages, Paperback

Published August 5, 2021

About the author

John M. (Jack) Lee is Professor Emeritus of Mathematics at the University of Washington.