Isbn Metric Spaces of Non-Positive Curvature book English Hardcover 643 pages

Name: Isbn Metric Spaces of Non-Positive Curvature book English Hardcover 643 pages
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SKU: 9783540643241
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ISBN Metric Spaces of Non-Positive Curvature. Book cover type: Hardcover, Language version: English, Written by: Martin R. Bridson, André Haefliger

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£119.99

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ISBN Metric Spaces of Non-Positive Curvature. Book cover type: Hardcover, Language version: English, Written by: Martin R. Bridson, André Haefliger

★ 4.9

£119.99

Best price from link.springer.com

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ISBN Metric Spaces of Non-Positive Curvature. Book cover type: Hardcover, Language version: English, Written by: Martin R. Bridson, André Haefliger

★ 4.9

£119.99

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Lowest price for a new Isbn Metric Spaces of Non-Positive Curvature book English Hardcover 643 pages is £119.99. This is currently the cheapest offer among 1 stores.

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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 .

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