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Cover: 9780521450546 | The Geometry of Total Curvature on Complete Open Surfaces | Buch
Rückseite: 9780521450546 | The Geometry of Total Curvature on Complete Open Surfaces | Buch
Cover: 9780521450546 | The Geometry of Total Curvature on Complete Open Surfaces | Buch
Rückseite: 9780521450546 | The Geometry of Total Curvature on Complete Open Surfaces | Buch
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The Geometry of Total Curvature on Complete Open Surfaces
Buch von Katsuhiro Shiohama (u. a.)
Sprache: Englisch

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Beschreibung
This independent account of modern ideas in differential geometry shows how they can be used to understand and extend classical results in integral geometry. The authors explore the influence of total curvature on the metric structure of complete, non-compact Riemannian 2-manifolds, although their work can be extended to more general spaces. Each chapter features open problems, making the volume a suitable learning aid for graduate students and non-specialists who seek an introduction to this modern area of differential geometry.
This independent account of modern ideas in differential geometry shows how they can be used to understand and extend classical results in integral geometry. The authors explore the influence of total curvature on the metric structure of complete, non-compact Riemannian 2-manifolds, although their work can be extended to more general spaces. Each chapter features open problems, making the volume a suitable learning aid for graduate students and non-specialists who seek an introduction to this modern area of differential geometry.
Inhaltsverzeichnis
1. Riemannian geometry; 2. Classical results by Cohn-Vossen and Huber; 3. The ideal boundary; 4. The cut loci of complete open surfaces; 5. Isoperimetric inequalities; 6. Mass of rays; 7. Poles and cut loci of a surface of revolution; 8. Behaviour of geodesics.
Details
Erscheinungsjahr: 2019
Fachbereich: Geometrie
Genre: Importe, Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
ISBN-13: 9780521450546
ISBN-10: 0521450543
Sprache: Englisch
Einband: Gebunden
Autor: Shiohama, Katsuhiro
Shioya, Takashi
Tanaka, Minoru
Hersteller: Cambridge University Press
Verantwortliche Person für die EU: Libri GmbH, Europaallee 1, D-36244 Bad Hersfeld, gpsr@libri.de
Maße: 235 x 157 x 21 mm
Von/Mit: Katsuhiro Shiohama (u. a.)
Erscheinungsdatum: 21.05.2019
Gewicht: 0,582 kg
Artikel-ID: 102373701
Inhaltsverzeichnis
1. Riemannian geometry; 2. Classical results by Cohn-Vossen and Huber; 3. The ideal boundary; 4. The cut loci of complete open surfaces; 5. Isoperimetric inequalities; 6. Mass of rays; 7. Poles and cut loci of a surface of revolution; 8. Behaviour of geodesics.
Details
Erscheinungsjahr: 2019
Fachbereich: Geometrie
Genre: Importe, Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
ISBN-13: 9780521450546
ISBN-10: 0521450543
Sprache: Englisch
Einband: Gebunden
Autor: Shiohama, Katsuhiro
Shioya, Takashi
Tanaka, Minoru
Hersteller: Cambridge University Press
Verantwortliche Person für die EU: Libri GmbH, Europaallee 1, D-36244 Bad Hersfeld, gpsr@libri.de
Maße: 235 x 157 x 21 mm
Von/Mit: Katsuhiro Shiohama (u. a.)
Erscheinungsdatum: 21.05.2019
Gewicht: 0,582 kg
Artikel-ID: 102373701
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