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The geometry of total curvature on complete open surfaces

The geometry of total curvature on complete open surfaces

Katsuhiro Shiohama, Takashi Shioya, Minoru Tanaka
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This independent account of modern ideas in differential geometry shows how they can be used to understand and extend classical results in integral geometry. The authors explore the influence of total curvature on the metric structure of complete, non-compact Riemannian 2-manifolds, although their work can be extended to more general spaces. Each chapter features open problems, making the volume a suitable learning aid for graduate students and non-specialists who seek an introduction to this modern area of differential geometry.
Categories:
Year:
2003
Publisher:
Cambridge University Press
Language:
english
Pages:
296
ISBN 10:
0521450543
ISBN 13:
9780521450546
Series:
Cambridge tracts in mathematics 159
File:
PDF, 1.37 MB
IPFS:
CID , CID Blake2b
english, 2003
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