Softcover ISBN:  9783037191323 
Product Code:  EMSILMTP/6.R 
List Price:  $58.00 
AMS Member Price:  $46.40 
Softcover ISBN:  9783037191323 
Product Code:  EMSILMTP/6.R 
List Price:  $58.00 
AMS Member Price:  $46.40 

Book DetailsEMS IRMA Lectures in Mathematics and Theoretical PhysicsVolume: 6; 2013; 320 ppMSC: Primary 26; 30; 32; 51
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.
ReadershipGraduate students and research mathematicians interested in geometry, topology, and analysis.

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