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Metric Spaces of Non-Positive Curvature (Grundlehren der mathematischen Wissenschaften)
Martin R. Bridson
€ 187.73
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Description for Metric Spaces of Non-Positive Curvature (Grundlehren der mathematischen Wissenschaften)
Hardcover. "Metric Spaces of Non-Positive Curvature" is recommended for graduate students entering the subject, as well as for specialists looking for a comprehensive reference. Series: Grundlehren Der Mathematichen Wissenschaften S. Num Pages: 643 pages, biography. BIC Classification: PBG; PBM; PBP; PBT. Category: (G) General (US: Trade); (UP) Postgraduate, Research & Scholarly; (UU) Undergraduate. Dimension: 237 x 163 x 44. Weight in Grams: 1114.
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 ... Read more
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 ... Read more
Product Details
Format
Hardback
Publication date
2009
Publisher
Springer
Condition
New
Series
Grundlehren Der Mathematichen Wissenschaften S.
Number of Pages
643
Place of Publication
Berlin, Germany
ISBN
9783540643241
SKU
V9783540643241
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
Reviews for Metric Spaces of Non-Positive Curvature (Grundlehren der mathematischen Wissenschaften)
"This book is beautifully and clearly written and contains many illustrations and examples but also many deep results. It is my opinion that this book will become a standard work in mathematical literature and will be used by many people, from undergraduates to specialists." K. Dekimpe in "Nieuw Archief voor Wiskunde", June 2001 "In conclusion, it can be ... Read more