Introduction to Riemannian Manifolds
Language: en
Pages: 437
Authors: John M. Lee
Categories: Mathematics
Type: BOOK - Published: 2019-01-02 - 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
An Introduction to Differentiable Manifolds and Riemannian Geometry
Language: en
Pages: 429
Authors: John M. Lee
Categories: Mathematics
Type: BOOK - Published: 1986-04-21 - Publisher: Academic Press

An Introduction to Differentiable Manifolds and Riemannian Geometry
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
An Introduction to the Analysis of Paths on a Riemannian Manifold
Language: en
Pages: 269
Authors: Daniel W. Stroock
Categories: Mathematics
Type: BOOK - Published: 2005-03-24 - Publisher: American Mathematical Soc.

This book aims to bridge the gap between probability and differential geometry. It gives two constructions of Brownian motion on a Riemannian manifold: an extrinsic one where the manifold is realized as an embedded submanifold of Euclidean space and an intrinsic one based on the ``rolling'' map. It is then