Limit search to available items
Book Cover
Author Shiohama, K. (Katsuhiro), 1940-

Title The geometry of total curvature on complete open surfaces / Katsuhiro Shiohama, Takashi Shioya, Minoru Tanaka
Published Cambridge, U.K. ; New York : Cambridge University Press, 2003
Online access available from:
EBSCO eBook Academic Collection    View Resource Record  


Description 1 online resource (ix, 284 pages) : illustrations
Series Cambridge tracts in mathematics ; 159
Cambridge tracts in mathematics ; 159
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
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
Bibliography Includes bibliographical references (pages 275-280) and index
Notes Print version record
Subject Curves on surfaces.
Global differential geometry.
Riemannian manifolds.
Form Electronic book
Author Shioya, Takashi, 1963-
Tanaka, Minoru, 1949-
ISBN 0511065469 (electronic bk.)
0511543158 (electronic book)
9780511065460 (electronic bk.)
9780511543159 (electronic book)