Riemannian Manifolds: An Introduction to Curvature (Graduate Texts in Mathematics)

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9780387983226: Riemannian Manifolds: An Introduction to Curvature (Graduate Texts in Mathematics)

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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About the Author:

John M. Lee has been a mathematics professor at the University of Washington in Seattle since 1987. He has written two other popular graduate texts (Introduction to Smooth Manifolds and Introduction to Topological Manifolds), and an undergraduate text (Axiomatic Geometry).

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"This book is very well writen, pleasant to read, with many good illustrations. It deals with the core of the subject, nothing more and nothing less. Simply a recommendation for anyone who wants to teach or learn about the Riemannian geometry."
Nieuw Archief voor Wiskunde, September 2000

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Book Description Springer-Verlag New York Inc., United States, 1997. Paperback. Book Condition: New. 1997 ed.. Language: English . This book usually ship within 10-15 business days and we will endeavor to dispatch orders quicker than this where possible. Brand New Book. 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. Bookseller Inventory # LIE9780387983226

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Book Description Springer-Verlag New York Inc., United States, 1997. Paperback. Book Condition: New. 1997 ed.. Language: English . Brand New Book ***** Print on Demand *****.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. Bookseller Inventory # AAV9780387983226

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