The geometry of total curvature on complete open surfaces /

The geometry of total curvature on complete open surfaces /

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Bibliographic Details
Author / Creator:	Shiohama, K. (Katsuhiro), 1940-
Imprint:	Cambridge, U.K. ; New York : Cambridge University Press, 2003.
Description:	1 online resource (ix, 284 pages) : illustrations
Language:	English
Series:	Cambridge tracts in mathematics ; 159 Cambridge tracts in mathematics ; 159.
Subject:	Riemannian manifolds. Curves on surfaces. Global differential geometry. Curves on surfaces. Global differential geometry. Riemannian manifolds. Electronic books.
Format:	E-Resource Book
URL for this record:	http://pi.lib.uchicago.edu/1001/cat/bib/11131183

Hidden Bibliographic Details
Other authors / contributors:	Shioya, Takashi, 1963- Tanaka, Minoru, 1949-
ISBN:	0511065469 9780511065460 0511067593 9780511067594 9780511543159 0511543158 0521450543 1280414634 9781280414633 9780521450546 9780511059155 0511059159
Notes:	Includes bibliographical references (pages 275-280) and index. Print version record.
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.
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

Table of 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.