Riemannian Manifolds

¸±±êÌâ: An Introduction to Curvature (Graduate Texts in Mathematics) (v. 176)

ISBN: 9780387983226

³ö°æÉç: Springer

³ö°æÄê: 1997-09-05

Ò³Êý: 242

¶¨¼Û: USD 49.95

×°Ö¡: Paperback

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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.