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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.

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.

Curvature and Topology of Riemannian Manifolds

2006-11-14 Mathematics
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Release : 2006-11-14
Genre : Mathematics
Kind : eBook
Book Rating : 273/5 ( reviews)

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Book Synopsis Curvature and Topology of Riemannian Manifolds by : Katsuhiro Shiohama

Download or read book Curvature and Topology of Riemannian Manifolds written by Katsuhiro Shiohama. This book was released on 2006-11-14. Available in PDF, EPUB and Kindle. Book excerpt:

Curvature and Homology

1998-01-01 Mathematics
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Release : 1998-01-01
Genre : Mathematics
Kind : eBook
Book Rating : 07X/5 ( reviews)

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Book Synopsis Curvature and Homology by : Samuel I. Goldberg

Download or read book Curvature and Homology written by Samuel I. Goldberg. This book was released on 1998-01-01. Available in PDF, EPUB and Kindle. Book excerpt: This systematic and self-contained treatment examines the topology of differentiable manifolds, curvature and homology of Riemannian manifolds, compact Lie groups, complex manifolds, and curvature and homology of Kaehler manifolds. It generalizes the theory of Riemann surfaces to that of Riemannian manifolds. Includes four helpful appendixes. "A valuable survey." — Nature. 1962 edition.

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.

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