Riemannian Manifolds : An Introduction to Curvature
John M. Lee
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.
Categories:
Year:
1997
Edition:
1
Publisher:
Springer
Language:
english
Pages:
224
ISBN 10:
038798271X
ISBN 13:
9780387982717
Series:
Graduate Texts in Mathematics
File:
PDF, 1.18 MB
IPFS:
,
english, 1997