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|a UAMI
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1 |
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|a Shiohama, K.
|q (Katsuhiro),
|d 1940-
|
245 |
1 |
4 |
|a The geometry of total curvature on complete open surfaces /
|c Katsuhiro Shiohama, Takashi Shioya, Minoru Tanaka.
|
260 |
|
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|a Cambridge, U.K. ;
|a New York :
|b Cambridge University Press,
|c 2003.
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300 |
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|a 1 online resource (ix, 284 pages) :
|b illustrations
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|a Cambridge tracts in mathematics ;
|v 159
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504 |
|
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|a Includes bibliographical references (pages 275-280) and index.
|
520 |
|
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|a A self-contained account of how modern differential geometry can be used to tackle and extend classical results in integral geometry. Open problems are provided, and the text is richly illustrated with figures to aid understanding and develop intuition. Suitable for graduate students and non-specialists seeking an introduction to this area.
|
505 |
0 |
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|a Cover; Half-title; Title; Copyright; Contents; Preface; 1 Riemannian geometry; 2 The classical results of Cohn-Vossen and Huber; 3 The ideal boundary; 4 The cut loci of complete open surfaces; 5 Isoperimetric inequalities; 6 Mass of rays; 7 The poles and cut loci of a surface of revolution; 8 The behavior of geodesics; References; Index.
|
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|a Print version record.
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|b EBSCO eBook Subscription Academic Collection - Worldwide
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650 |
|
0 |
|a Riemannian manifolds.
|
650 |
|
0 |
|a Curves on surfaces.
|
650 |
|
0 |
|a Global differential geometry.
|
650 |
|
6 |
|a Variétés de Riemann.
|
650 |
|
6 |
|a Courbes sur les surfaces.
|
650 |
|
6 |
|a Géométrie différentielle globale.
|
650 |
|
7 |
|a MATHEMATICS
|x Geometry
|x Algebraic.
|2 bisacsh
|
650 |
|
7 |
|a Curves on surfaces.
|2 fast
|0 (OCoLC)fst00885448
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650 |
|
7 |
|a Global differential geometry.
|2 fast
|0 (OCoLC)fst00943477
|
650 |
|
7 |
|a Riemannian manifolds.
|2 fast
|0 (OCoLC)fst01097804
|
650 |
|
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|a Globale Differentialgeometrie
|2 gnd
|
700 |
1 |
|
|a Shioya, Takashi,
|d 1963-
|
700 |
1 |
|
|a Tanaka, Minoru,
|d 1949-
|
776 |
0 |
8 |
|i Print version:
|a Shiohama, K. (Katsuhiro), 1940-
|t Geometry of total curvature on complete open surfaces.
|d Cambridge, U.K. ; New York : Cambridge University Press, 2003
|z 0521450543
|w (DLC) 2003041955
|w (OCoLC)51518490
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830 |
|
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|a Cambridge tracts in mathematics ;
|v 159.
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