Riemannian Manifolds

Riemannian Manifolds

John M. Lee

101,98 €
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Editorial:
Springer Nature B.V.
Año de edición:
1997
ISBN:
9780387982717

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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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