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Berlin, Heidelberg Springer 1999 Hard cover New. Glued binding. Paper over boards. 643 p. Contains: Unspecified, Figures. Grundlehren Der Mathematischen Wissenschaften, 319.
ISBN10: 3540643249, ISBN13: 9783540643241, [publisher: Springer Berlin Heidelberg] Hardcover Druck auf Anfrage Neuware - Printed after ordering - The purpose of this book is to describe the global properties of complete simply connected spaces that are non-positively curved in the sense of A. D. Alexandrov and to examine the structure of groups that act properly on such spaces by isometries. Thus the central objects of study are metric spaces in which every pair of points can be joined by an arc isometric to a compact interval of the real line and in which every triangle satisfies the CAT(O) inequality. This inequality encapsulates the concept of non-positive curvature in Riemannian geometry and allows one to reflect the same concept faithfully in a much wider setting - that of geodesic metric spaces. Because the CAT(O) condition captures the essence of non-positive curvature so well, spaces that satisfy this condition display many of the elegant features inherent in the geometry of non-positively curved manifolds. There is therefore a great deal to be said about the global structure of CAT(O) spaces, and also about the structure of groups that act on them by isometries - such is the theme of this book. 1 The origins of our study lie in the fundamental work of A. D. Alexandrov . [Einbeck, Germany] [Publication Year: 1999] ...
Hard Cover. New. New Book; Fast Shipping from UK; Not signed; Not First Edition; The Metric Spaces of Non-Positive Curvature. ISBN 3540643249 9783540643241 [GB]
ISBN10: 3540643249, ISBN13: 9783540643241, [publisher: Springer] Hardcover New. Fast Shipping and good customer service [Fayetteville, TX, U.S.A.] [Publication Year: 1999]
ISBN10: 3540643249, ISBN13: 9783540643241, [publisher: Springer Berlin Heidelberg] Hardcover Druck auf Anfrage Neuware - Printed after ordering - The purpose of this book is to describe the global properties of complete simply connected spaces that are non-positively curved in the sense of A. D. Alexandrov and to examine the structure of groups that act properly on such spaces by isometries. Thus the central objects of study are metric spaces in which every pair of points can be joined by an arc isometric to a compact interval of the real line and in which every triangle satisfies the CAT(O) inequality. This inequality encapsulates the concept of non-positive curvature in Riemannian geometry and allows one to reflect the same concept faithfully in a much wider setting - that of geodesic metric spaces. Because the CAT(O) condition captures the essence of non-positive curvature so well, spaces that satisfy this condition display many of the elegant features inherent in the geometry of non-positively curved manifolds. There is therefore a great deal to be said about the global structure of CAT(O) spaces, and also about the structure of groups that act on them by isometries - such is the theme of this book. 1 The origins of our study lie in the fundamental work of A. D. Alexandrov . [Einbeck, Germany] [Publication Year: 1999] ...
Berlin, Heidelberg Springer 1999 Hard cover New. Glued binding. Paper over boards. 643 p. Contains: Unspecified, Figures. Grundlehren Der Mathematischen Wissenschaften, 319.
DISCLOSURE:
When you click on links to various merchants on this site and make a purchase, this can result in this site earning a commission at no extra cost to you. Affiliate programs and affiliations include, but are not limited to, the eBay Partner Network, Amazon and Alibris.
