By John M. Lee
ISBN-10: 038798271X
ISBN-13: 9780387982717
ISBN-10: 0387983228
ISBN-13: 9780387983226
This textual content makes a speciality of constructing an intimate acquaintance with the geometric that means of curvature and thereby introduces and demonstrates all of the major technical instruments wanted for a extra complicated direction on Riemannian manifolds. It covers proving the 4 such a lot primary theorems referring to curvature and topology: the Gauss-Bonnet Theorem, the Cartan-Hadamard Theorem, Bonnet’s Theorem, and a unique case of the Cartan-Ambrose-Hicks Theorem.
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Riemannian Manifolds: An Introduction to Curvature (Graduate Texts in Mathematics) by John M. Lee
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