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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...
| Call Number: | Libro Electrónico |
|---|---|
| Main Author: | |
| Other Authors: | , |
| Format: | Electronic eBook |
| Language: | Inglés |
| Published: |
Cambridge, U.K. ; New York :
Cambridge University Press,
2003.
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| Series: | Cambridge tracts in mathematics ;
159. |
| Subjects: | |
| Online Access: | Texto completo |
Table of 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.