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Global Riemannian Geometry: Curvature and Topology

2020-08-19 Mathematics
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Release : 2020-08-19
Genre : Mathematics
Kind : eBook
Book Rating : 934/5 ( reviews)

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Book Synopsis Global Riemannian Geometry: Curvature and Topology by : Ana Hurtado

Download or read book Global Riemannian Geometry: Curvature and Topology written by Ana Hurtado. This book was released on 2020-08-19. Available in PDF, EPUB and Kindle. Book excerpt: This book contains a clear exposition of two contemporary topics in modern differential geometry: distance geometric analysis on manifolds, in particular, comparison theory for distance functions in spaces which have well defined bounds on their curvature the application of the Lichnerowicz formula for Dirac operators to the study of Gromov's invariants to measure the K-theoretic size of a Riemannian manifold. It is intended for both graduate students and researchers.

Advanced course on global riemannian geometry: curvature and topology

2001
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Release : 2001
Genre :
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Book Rating : /5 ( reviews)

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Book Synopsis Advanced course on global riemannian geometry: curvature and topology by : Maung Min-Oo

Download or read book Advanced course on global riemannian geometry: curvature and topology written by Maung Min-Oo. This book was released on 2001. Available in PDF, EPUB and Kindle. Book excerpt:

Global Riemannian Geometry

2003-05-23
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Release : 2003-05-23
Genre :
Kind : eBook
Book Rating : 565/5 ( reviews)

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Book Synopsis Global Riemannian Geometry by : Steen Markvorsen

Download or read book Global Riemannian Geometry written by Steen Markvorsen. This book was released on 2003-05-23. Available in PDF, EPUB and Kindle. Book excerpt:

Introduction to Riemannian Manifolds

2019-01-02 Mathematics
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Release : 2019-01-02
Genre : Mathematics
Kind : eBook
Book Rating : 552/5 ( reviews)

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Book Synopsis Introduction to Riemannian Manifolds by : John M. Lee

Download or read book Introduction to Riemannian Manifolds written by John M. Lee. This book was released on 2019-01-02. Available in PDF, EPUB and Kindle. 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.

Riemannian Manifolds

2006-04-06 Mathematics
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Release : 2006-04-06
Genre : Mathematics
Kind : eBook
Book Rating : 261/5 ( reviews)

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Book Synopsis Riemannian Manifolds by : John M. Lee

Download or read book Riemannian Manifolds written by John M. Lee. This book was released on 2006-04-06. Available in PDF, EPUB and Kindle. 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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