Description

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

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Hardback by John M. Lee

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Description:

This text focuses on developing an intimate acquaintance with the geometric meaning of curvature and thereby introduces and demonstrates all... Read more

    Publisher: Springer International Publishing AG
    Publication Date: 14/01/2019
    ISBN13: 9783319917542, 978-3319917542
    ISBN10: 3319917544

    Number of Pages: 437

    Non Fiction , Mathematics & Science , Education

    Description

    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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