Verfügbarkeit: The geometry of total curvature on complete open surfaces /

The geometry of total curvature on complete open surfaces /:

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-special...

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Bibliographische Detailangaben
1. Verfasser:	Shiohama, K. (Katsuhiro), 1940-
Weitere Verfasser:	Shioya, Takashi, 1963-, Tanaka, Minoru, 1949-
Format:	Elektronisch E-Book
Sprache:	English
Veröffentlicht:	Cambridge, U.K. ; New York : Cambridge University Press, 2003.
Schriftenreihe:	Cambridge tracts in mathematics ; 159.
Schlagworte:	Riemannian manifolds. Curves on surfaces. Global differential geometry. Variétés de Riemann. Courbes sur les surfaces. Géométrie différentielle globale. MATHEMATICS > Geometry > Algebraic. Curves on surfaces Global differential geometry Riemannian manifolds Globale Differentialgeometrie Electronic books.
Online-Zugang:	Volltext
Zusammenfassung:	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.
Beschreibung:	1 online resource (ix, 284 pages) : illustrations
Bibliographie:	Includes bibliographical references (pages 275-280) and index.
ISBN:	0511065469 9780511065460 0511067593 9780511067594 9780511543159 0511543158

Internformat

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series	Cambridge tracts in mathematics ;
series2	Cambridge tracts in mathematics ;
spelling	Shiohama, K. (Katsuhiro), 1940- https://id.oclc.org/worldcat/entity/E39PBJg4qD3BXtC7cBx8dbJ4bd http://id.loc.gov/authorities/names/n86098525 The geometry of total curvature on complete open surfaces / Katsuhiro Shiohama, Takashi Shioya, Minoru Tanaka. Cambridge, U.K. ; New York : Cambridge University Press, 2003. 1 online resource (ix, 284 pages) : illustrations text txt rdacontent computer c rdamedia online resource cr rdacarrier Cambridge tracts in mathematics ; 159 Includes bibliographical references (pages 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. Print version record. Riemannian manifolds. http://id.loc.gov/authorities/subjects/sh85114045 Curves on surfaces. http://id.loc.gov/authorities/subjects/sh85034933 Global differential geometry. http://id.loc.gov/authorities/subjects/sh85055286 Variétés de Riemann. Courbes sur les surfaces. Géométrie différentielle globale. MATHEMATICS Geometry Algebraic. bisacsh Curves on surfaces fast Global differential geometry fast Riemannian manifolds fast Globale Differentialgeometrie gnd http://d-nb.info/gnd/4021286-5 Electronic books. Shioya, Takashi, 1963- https://id.oclc.org/worldcat/entity/E39PCjw77VccD7GxTr8KJQFXFq http://id.loc.gov/authorities/names/n93118797 Tanaka, Minoru, 1949- https://id.oclc.org/worldcat/entity/E39PCjxPxqFvhkKMCTDtwMfMdP http://id.loc.gov/authorities/names/n2003003667 has work: The geometry of total curvature on complete open surfaces (Text) https://id.oclc.org/worldcat/entity/E39PCGghFjRtCkXRFGm6k7bmkC https://id.oclc.org/worldcat/ontology/hasWork Print version: Shiohama, K. (Katsuhiro), 1940- Geometry of total curvature on complete open surfaces. Cambridge, U.K. ; New York : Cambridge University Press, 2003 0521450543 (DLC) 2003041955 (OCoLC)51518490 Cambridge tracts in mathematics ; 159. http://id.loc.gov/authorities/names/n42005726 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=120439 Volltext
spellingShingle	Shiohama, K. (Katsuhiro), 1940- The geometry of total curvature on complete open surfaces / Cambridge tracts in mathematics ; 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. Riemannian manifolds. http://id.loc.gov/authorities/subjects/sh85114045 Curves on surfaces. http://id.loc.gov/authorities/subjects/sh85034933 Global differential geometry. http://id.loc.gov/authorities/subjects/sh85055286 Variétés de Riemann. Courbes sur les surfaces. Géométrie différentielle globale. MATHEMATICS Geometry Algebraic. bisacsh Curves on surfaces fast Global differential geometry fast Riemannian manifolds fast Globale Differentialgeometrie gnd http://d-nb.info/gnd/4021286-5
subject_GND	http://id.loc.gov/authorities/subjects/sh85114045 http://id.loc.gov/authorities/subjects/sh85034933 http://id.loc.gov/authorities/subjects/sh85055286 http://d-nb.info/gnd/4021286-5
title	The geometry of total curvature on complete open surfaces /
title_auth	The geometry of total curvature on complete open surfaces /
title_exact_search	The geometry of total curvature on complete open surfaces /
title_full	The geometry of total curvature on complete open surfaces / Katsuhiro Shiohama, Takashi Shioya, Minoru Tanaka.
title_fullStr	The geometry of total curvature on complete open surfaces / Katsuhiro Shiohama, Takashi Shioya, Minoru Tanaka.
title_full_unstemmed	The geometry of total curvature on complete open surfaces / Katsuhiro Shiohama, Takashi Shioya, Minoru Tanaka.
title_short	The geometry of total curvature on complete open surfaces /
title_sort	geometry of total curvature on complete open surfaces
topic	Riemannian manifolds. http://id.loc.gov/authorities/subjects/sh85114045 Curves on surfaces. http://id.loc.gov/authorities/subjects/sh85034933 Global differential geometry. http://id.loc.gov/authorities/subjects/sh85055286 Variétés de Riemann. Courbes sur les surfaces. Géométrie différentielle globale. MATHEMATICS Geometry Algebraic. bisacsh Curves on surfaces fast Global differential geometry fast Riemannian manifolds fast Globale Differentialgeometrie gnd http://d-nb.info/gnd/4021286-5
topic_facet	Riemannian manifolds. Curves on surfaces. Global differential geometry. Variétés de Riemann. Courbes sur les surfaces. Géométrie différentielle globale. MATHEMATICS Geometry Algebraic. Curves on surfaces Global differential geometry Riemannian manifolds Globale Differentialgeometrie Electronic books.
url	https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=120439
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