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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...
| Cote: | Libro Electrónico |
|---|---|
| Auteur principal: | |
| Autres auteurs: | , |
| Format: | Électronique eBook |
| Langue: | Inglés |
| Publié: |
Cambridge, U.K. ; New York :
Cambridge University Press,
2003.
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| Collection: | Cambridge tracts in mathematics ;
159. |
| Sujets: | |
| Accès en ligne: | Texto completo |
Table des matières:
- 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.