Metric Spaces, Convexity and Nonpositive Curvature [electronic resource] : Second edition / Athanase Papadopoulos
Material type:
TextSeries: IRMA Lectures in Mathematics and Theoretical Physics (IRMA) ; 6Publisher: Zuerich, Switzerland : European Mathematical Society Publishing House, 2014Description: 1 online resource (320 pages)Content type: text Media type: computer Carrier type: online resourceISBN: 9783037196328Subject(s): Complex analysis | Differential & Riemannian geometry | Real functions | Functions of a complex variable | Several complex variables and analytic spaces | GeometryOther classification: 26-xx | 30-xx | 32-xx | 51-xx Online resources: Click here to access online | cover image Summary: 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.
E-BOOKS
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| IMSc Library | IMSc Library | Link to resource | Available | EBK13724 |
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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.
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