**EMS IRMA Lectures in Mathematics and Theoretical Physics**

Volume: 6;
2013;
320 pp;
Softcover

MSC: Primary 26; 30; 32; 51; 52; 53; 54;
**Print ISBN: 978-3-03719-132-3
Product Code: EMSILMTP/6.R**

List Price: $58.00

Individual Member Price: $46.40

# Metric Spaces, Convexity and Nonpositive Curvature: Second Edition

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*Athanase Papadopoulos*

A publication of the European Mathematical Society

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 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.

A publication of the European Mathematical Society. Distributed within the Americas by the American Mathematical Society.

#### Table of Contents

# Table of Contents

## Metric Spaces, Convexity and Nonpositive Curvature: Second Edition

#### Readership

Graduate students and research mathematicians interested in geometry, topology, and analysis.