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    Introduction to Riemannian Manifolds vol 2

    Posted By: nebulae
    Introduction to Riemannian Manifolds  vol 2

    John M. Lee, "Introduction to Riemannian Manifolds vol 2"
    English | ISBN: 3319917544 | 2018 | 437 pages | EPUB, PDF | 33 MB + 9 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.