Riemannian Manifolds An Introduction to Curvature

You must be logged in to access this title.

Sign up now

Already a member? Log in

Synopsis

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.

Book details

Edition:
1997
Series:
Graduate Texts in Mathematics (Book 176)
Author:
John M. Lee
ISBN:
9780387227269
Related ISBNs:
9780387982717
Publisher:
Springer New York
Pages:
N/A
Reading age:
Not specified
Includes images:
No
Date of addition:
2021-02-07
Usage restrictions:
Copyright
Copyright date:
1997
Copyright by:
N/A 
Adult content:
No
Language:
English
Categories:
Mathematics and Statistics, Nonfiction