Metric spaces, convexity and nonpositive curvature
By: Athanase Papadopoulos.
Series: IRMA lectures in mathematics and theoretical physics -- 6
Publisher: European Mathematical Society
Published: 2005
Place of publication: Zürich
Language: eng
Number of pages: 287
Subjects: Metric spaces; Convex domains; Curvature; Geodesics (Mathematics); Espaces métriques; Algèbres convexes; Courbure; Géodésiques (Mathématiques)
Description: "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."--BOOK JACKET.
Notes: Includes bibliographical references (p. [275]-282) and index.