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The Geometry of Total Curvature on Complete Open Surfaces.

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	The Geometry of Total Curvature on Complete Open Surfaces./
作者:	Shiohama, Katsuhiro.
其他作者:	Tanaka, Minoru.
出版者:	Cambridge :Cambridge University Press, : 2003.,
面頁冊數:	296 p.
電子資源:	Click here to view book
ISBN:	9780511059155 (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: 9780511059155 (electronic bk.)Index Terms--Genre/Form:

554714
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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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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