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The Geometry of Total Curvature on C...

Bollobas, B.

The Geometry of Total Curvature on Complete Open Surfaces.

Record Type:	Electronic resources : Monograph/item
Title/Author:	The Geometry of Total Curvature on Complete Open Surfaces.
Author:	Shiohama, Katsuhiro.
other author:	Bollobas, B.
Published:	Cambridge :Cambridge University Press,2003.
Description:	296 p.
Online resource:	Click here to view book
ISBN:	9780511543159 (electronic bk.)

The Geometry of Total Curvature on Complete Open Surfaces.
Shiohama, Katsuhiro.

The Geometry of Total Curvature on Complete Open Surfaces.[electronic resource]. - Cambridge :Cambridge University Press,2003. - 296 p.

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

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.

Electronic reproduction.

Available via World Wide Web.

Mode of access: World Wide Web.

ISBN: 9780511543159 (electronic bk.)Index Terms--Genre/Form:

214472
Electronic books.

LC Class. No.: QA670 . / S48 2003

Dewey Class. No.: 516.352

The Geometry of Total Curvature on Complete Open Surfaces.
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100 1 $a Shiohama, Katsuhiro. $3 322666
245 1 4 $a The Geometry of Total Curvature on Complete Open Surfaces. $h [electronic resource].
260 $a Cambridge : $b Cambridge University Press, $c 2003.
300 $a 296 p.
505 0 $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
520 $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.
533 $a Electronic reproduction. $n Available via World Wide Web.
538 $a Mode of access: World Wide Web.
655 7 $a Electronic books. $2 local. $3 214472
700 1 $a Bollobas, B. $3 322184
700 1 $a Fulton, W. $3 322185
700 1 $a Katok, A. $3 322186
700 1 $a Kirwan, F. $3 322187
700 1 $a Sarnak, P. $3 322188
700 1 $a Shioya, Takashi. $3 322664
700 1 $a Tanaka, Minoru. $3 322665
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