The geometry of total curvature on complete open surfaces
Katsuhiro Shiohama, Takashi Shioya, Minoru Tanaka
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.
Kategorije:
Godina:
2003
Izdavač:
Cambridge University Press
Jezik:
english
Strane:
296
ISBN 10:
0521450543
ISBN 13:
9780521450546
Serije:
Cambridge tracts in mathematics 159
Fajl:
PDF, 1.37 MB
IPFS:
,
english, 2003