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IRMA Lectures in Mathematics and Theoretical Physics Vol. 6
Athanase Papadopoulos (IRMA, Strasbourg, France)
DOI 10.4171/010
December 2004, 298 pages, softcover, 17.0 x 24.0 cm.
48.00 Euro
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, 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 Teichmüller spaces.
The book is useful for students and researchers in geometry, topology and analysis.
Athanase Papadopoulos (IRMA, Strasbourg, France)
Metric Spaces, Convexity and Nonpositive Curvature
ISBN 978-3-03719-010-4DOI 10.4171/010
December 2004, 298 pages, softcover, 17.0 x 24.0 cm.
48.00 Euro
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, 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 Teichmüller spaces.
The book is useful for students and researchers in geometry, topology and analysis.
Further Information
Review in Bull. Amer. Math. Soc. 43 (2006), 435–438
Review in Internat. Math. News 204 (2007), 47–48
Review in Jahresbericht der DMV 108 (2008), 61–62
Review in Zentralblatt MATH 1115.53002
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