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The Geometry of Total Curvature on C...

Bollobas, B.

The Geometry of Total Curvature on Complete Open Surfaces.[electronic resource].

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
杜威分類號:	516.352
書名/作者:	The Geometry of Total Curvature on Complete Open Surfaces.
作者:	Shiohama, Katsuhiro.
其他作者:	Bollobas, B.
出版者:	Cambridge : : Cambridge University Press,, 2003.
面頁冊數:	296 p.
ISBN:	9780511543159 (electronic bk.)
ISBN:	9780521450546 (print)
內容註:	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
摘要、提要註:	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.
電子資源:	Click here to view book

The Geometry of Total Curvature on Complete Open Surfaces.[electronic resource].
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:

336502
Electronic books.

LC Class. No.: QA670 . / S48 2003

Dewey Class. No.: 516.352

The Geometry of Total Curvature on Complete Open Surfaces.[electronic resource].
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245 1 4 $a The Geometry of Total Curvature on Complete Open Surfaces. $h [electronic resource].
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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.
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655 7 $a Electronic books. $2 local $3 336502
700 1 $a Bollobas, B. $3 380635
700 1 $a Fulton, W. $3 380636
700 1 $a Katok, A. $3 380637
700 1 $a Kirwan, F. $3 380638
700 1 $a Sarnak, P. $3 380639
700 1 $a Shioya, Takashi. $3 380851
700 1 $a Tanaka, Minoru. $3 380852
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776 1 $z 9780521450546
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