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Bestseller
BestsellerE-book
Author Shiohama, K. (Katsuhiro), 1940-

Title The geometry of total curvature on complete open surfaces / Katsuhiro Shiohama, Takashi Shioya, Minoru Tanaka.

Publication Info. Cambridge, U.K. ; New York : Cambridge University Press, 2003.
Online access
Online eBook. Access restricted to current Rider University students, faculty, and staff.
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Description 1 online resource (ix, 284 pages) : illustrations.
Physical Medium polychrome
Description text file
Series Cambridge tracts in mathematics ; 159
Cambridge tracts in mathematics ; 159.
Bibliography Includes bibliographical references (pages 275-280) and index.
Summary 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.
Contents 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.
Local Note eBooks on EBSCOhost EBSCO eBook Subscription Academic Collection - North America
Subject Riemannian manifolds.
Riemannian manifolds.
Curves on surfaces.
Curves on surfaces.
Global differential geometry.
Global differential geometry.
Genre/Form Electronic books.
Electronic books.
Added Author Shioya, Takashi, 1963-
Tanaka, Minoru, 1949-
Other Form: Print version: Shiohama, K. (Katsuhiro), 1940- Geometry of total curvature on complete open surfaces. Cambridge, U.K. ; New York : Cambridge University Press, 2003 0521450543 (DLC) 2003041955 (OCoLC)51518490
ISBN 0511065469 (electronic book)
9780511065460 (electronic book)
0511067593
9780511067594
9780511543159 (electronic book)
0511543158 (electronic book)
0521450543 (Cloth)
1280414634
9781280414633

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