Riemannian Manifolds

Download or Read eBook Riemannian Manifolds PDF written by John M. Lee and published by Springer Science & Business Media. This book was released on 2006-04-06 with total page 232 pages. Available in PDF, EPUB and Kindle.
Riemannian Manifolds
Author :
Publisher : Springer Science & Business Media
Total Pages : 232
Release :
ISBN-10 : 9780387227269
ISBN-13 : 0387227261
Rating : 4/5 (69 Downloads)

Book Synopsis Riemannian Manifolds by : John M. Lee

Book excerpt: 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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