ISBN: 9783662124949

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 struct… Mehr…

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 .; PDF; Scientific, Technical and Medical > Mathematics > Groups & group theory, Springer Berlin Heidelberg<

ISBN: 9783662124949

Metric Spaces of Non-Positive Curvature ab 128.49 € als pdf eBook: . Aus dem Bereich: eBooks, Fachthemen & Wissenschaft, Mathematik, Medien > Bücher, Metric Spaces of Non-Positive Curvatu… Mehr…

Metric Spaces of Non-Positive Curvature ab 128.49 € als pdf eBook: . Aus dem Bereich: eBooks, Fachthemen & Wissenschaft, Mathematik, Medien > Bücher, Metric Spaces of Non-Positive Curvature - eBook als pdf von Martin R. Bridson/ André Häfliger - Springer Berlin Heidelberg - 9783662124949<

ISBN: 9783662124949

Metric Spaces of Non-Positive Curvature ab 90.99 € als pdf eBook: . Aus dem Bereich: eBooks, Fachthemen & Wissenschaft, Mathematik, Medien > Bücher, Metric Spaces of Non-Positive Curvatur… Mehr…

Metric Spaces of Non-Positive Curvature ab 90.99 € als pdf eBook: . Aus dem Bereich: eBooks, Fachthemen & Wissenschaft, Mathematik, Medien > Bücher, Metric Spaces of Non-Positive Curvature - eBook als pdf von Martin R. Bridson/ André Häfliger - Springer Berlin Heidelberg - 9783662124949<

ISBN: 9783662124949

Metric Spaces of Non-Positive Curvature: ab 128.49 € eBooks > Fachthemen & Wissenschaft > Mathematik Springer Berlin Heidelberg, Springer Berlin Heidelberg

2013, ISBN: 9783662124949

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