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    3. Riemannian Manifolds: An Introduction to Curvature [Repost]

    Riemannian Manifolds: An Introduction to Curvature [Repost]

    Posted By: ChrisRedfield
    Date: 1 Nov 2017 12:04:41
    Riemannian Manifolds: An Introduction to Curvature [Repost]

    John M. Lee - Riemannian Manifolds: An Introduction to Curvature
    Published: 1997-09-05 | ISBN: 038798271X, 0387983228 | PDF | 226 pages | 1.09 MB


    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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