Metric Spaces, Convexity and Nonpositive Curvature

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Metric Spaces, Convexity and...

Metric Spaces, Convexity and Nonpositive Curvature

Name: Metric Spaces, Convexity and Nonpositive Curvature
ISBN: 9783037191323

Athanase Papadopoulos

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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. It also contains a systematic introduction to metric geometry, 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, in particular from hyperbolic geometry, Hilbert geometry and Teichmüller theory.
For the second edition, some corrections and a few additions have been made, and the bibliography has been updated.

類別:

Mathematics - Geometry and Topology

年:

2013

版本:

2nd Revised edition

出版商:

European Mathematical Society

語言:

english

頁數:

321