Metric Spaces, Convexity and Nonpositive Curvature (IRMA Lectures in Mathematics & Theoretical Physics) - Softcover

Papadopoulos, Athanase

Softcover

ISBN 10: 3037190108 ISBN 13: 9783037190104

Publisher: European Mathematical Society, 2004

Synopsis

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 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.

About this title

Synopsis

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 and more.

Edition details

• Publisher: European Mathematical Society
• Publication date: 2004
• Language: English
• ISBN 10: 3037190108
• ISBN 13: 9783037190104
• Binding: Paperback
• Number of pages: 300