Online Public Access Catalogue (OPAC)
Library,Documentation and Information Science Division

“A research journal serves that narrow

borderland which separates the known from the unknown”

-P.C.Mahalanobis


Normal view MARC view ISBD view

The geometry of total curvature on complete open surfaces [electronic resource] / Katsuhiro Shiohama, Takashi Shioya, Minoru Tanaka.

By: Shiohama, K. (Katsuhiro), 1940-.
Contributor(s): Shioya, Takashi, 1963- | Tanaka, Minoru, 1949-.
Material type: TextTextSeries: Cambridge tracts in mathematics: 159.Publisher: Cambridge, U.K. ; New York : Cambridge University Press, 2003Description: 1 online resource (ix, 284 p.) : ill.ISBN: 0511065469 (electronic bk.); 9780511065460 (electronic bk.); 0511067593; 9780511067594.Subject(s): Riemannian manifolds | Curves on surfaces | Global differential geometry | MATHEMATICS -- Geometry -- AlgebraicGenre/Form: Electronic books. | Electronic books.Additional physical formats: Print version:: Geometry of total curvature on complete open surfaces.DDC classification: 516.3/52 Online resources: EBSCOhost
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.
Tags from this library: No tags from this library for this title. Log in to add tags.
No physical items for this record

Includes bibliographical references (p. 275-280) and 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.

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.

Description based on print version record.

There are no comments for this item.

Log in to your account to post a comment.

Other editions of this work

Geometry of total curvature on complete open surfaces by Shiohama Katsuhiro
The geometry of total curvature on complete open surfaces by Shiohama, K. ©2003
Library, Documentation and Information Science Division, Indian Statistical Institute, 203 B T Road, Kolkata 700108, INDIA
Phone no. 91-33-2575 2100, Fax no. 91-33-2578 1412, ksatpathy@isical.ac.in


Visitor Counter