Metric Spaces, Convexity and Nonpositive Curvature Athanase Papadopoulos

ISBN: 9783037190104

Published: December 31st 2003

Paperback

300 pages


Description

Metric Spaces, Convexity and Nonpositive Curvature  by  Athanase Papadopoulos

Metric Spaces, Convexity and Nonpositive Curvature by Athanase Papadopoulos
December 31st 2003 | Paperback | PDF, EPUB, FB2, DjVu, AUDIO, mp3, ZIP | 300 pages | ISBN: 9783037190104 | 4.14 Mb

This book is about metric spaces of nonpositive curvature in the sense of Busemann, that is, metric spaces whose distance function satisfies a convexity condition. The book also contains a systematic introduction to the theory of geodesics in metricMoreThis book is about metric spaces of nonpositive curvature in the sense of Busemann, that is, metric spaces whose distance function satisfies a convexity condition.

The book also contains a systematic introduction to the theory of geodesics in metric spaces, as well as a detailed presentation of some facets of convexity theory that are useful in the study of nonpositive curvature. The concepts and the techniques are illustrated by many examples from classical hyperbolic geometry and from the theory of Teichmuller spaces.

The book is useful for students and researchers in geometry, topology and analysis.



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