Riemannian Manifolds: An Introduction to Curvature (Graduate Texts in Mathematics) pdf epub fb2

Riemannian Manifolds: An Introduction to Curvature (Graduate Texts in Mathematics) by John M. Lee epub fb2 djvu

Author: John M. Lee
Title: Riemannian Manifolds: An Introduction to Curvature (Graduate Texts in Mathematics)
ISBN: 038798271X
ISBN13: 978-0387982717
Other Formats: mbr mobi azw doc
Pages: 226 pages
Publisher: Springer; 1997 edition (September 5, 1997)
Language: English
Size EPUB version: 1845 kb
Size FB2 version: 1382 kb
Category: Science & Math
Subcategory: Mathematics

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.


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