Introduction To Riemannian Manifolds

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Introduction To Riemannian Manifolds

Author : John M. Lee
ISBN : 3319917544
Genre : Mathematics
File Size : 46.33 MB
Format : PDF, ePub, Mobi
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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.
Category: Mathematics
Introduction to Riemannian Manifolds
Language: en
Pages: 427
Authors: John M. Lee
Categories: Mathematics
Type: BOOK - Published: 2018-08-24 - Publisher: Springer

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
Riemannian Manifolds
Language: en
Pages: 226
Authors: John M. Lee
Categories: Mathematics
Type: BOOK - Published: 2006-04-06 - Publisher: Springer Science & Business Media

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
Introduction to Smooth Manifolds
Language: en
Pages: 631
Authors: John M. Lee
Categories: Mathematics
Type: BOOK - Published: 2013-03-09 - Publisher: Springer Science & Business Media

Author has written several excellent Springer books.; This book is a sequel to Introduction to Topological Manifolds; Careful and illuminating explanations, excellent diagrams and exemplary motivation; Includes short preliminary sections before each section explaining what is ahead and why
An Introduction to Differentiable Manifolds and Riemannian Geometry, Revised
Language: en
Pages: 419
Authors: William M. Boothby, William Munger Boothby
Categories: Mathematics
Type: BOOK - Published: 2003 - Publisher: Gulf Professional Publishing

The second edition of An Introduction to Differentiable Manifolds and Riemannian Geometry, Revised has sold over 6,000 copies since publication in 1986 and this revision will make it even more useful. This is the only book available that is approachable by "beginners" in this subject. It has become an essential
The Laplacian on a Riemannian Manifold
Language: en
Pages: 172
Authors: Steven Rosenberg, Rosenberg Steven
Categories: Mathematics
Type: BOOK - Published: 1997-01-09 - Publisher: Cambridge University Press

This text on analysis of Riemannian manifolds is aimed at students who have had a first course in differentiable manifolds.