Metric Spaces of Non-Positive Curvature
(Sprache: Englisch)
This book describes the global properties of simply-connected spaces that are non-positively curved in the sense of A. D. Alexandrov, and the structure of groups which act on such spaces by isometries. The theory of these objects is developed in a manner...
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Klappentext zu „Metric Spaces of Non-Positive Curvature “
This book describes the global properties of simply-connected spaces that are non-positively curved in the sense of A. D. Alexandrov, and the structure of groups which act on such spaces by isometries. The theory of these objects is developed in a manner accessible to anyone familiar with the rudiments of topology and group theory: non-trivial theorems are proved by concatenating elementary geometric arguments, and many examples are given. Part I is an introduction to the geometry of geodesic spaces. In Part II the basic theory of spaces with upper curvature bounds is developed. More specialized topics, such as complexes of groups, are covered in Part III. The book is divided into three parts, each part is divided into chapters and the chapters have various subheadings. The chapters in Part III are longer and for ease of reference are divided into numbered sections.
Inhaltsverzeichnis zu „Metric Spaces of Non-Positive Curvature “
Geodesic Metric Spaces.- CAT Spaces.- Topics in non-positive curvature. The complete table of contents can be found on the Internet: http://www.springer.de
Bibliographische Angaben
- Autoren: Martin R. Bridson , André Häfliger
- 2011, 1st ed. 1999. Corr. 2nd printing 2009., 643 Seiten, Maße: 16 x 24,1 cm, Gebunden, Englisch
- Verlag: Springer
- ISBN-10: 3540643249
- ISBN-13: 9783540643241
- Erscheinungsdatum: 20.10.2011
Sprache:
Englisch
Rezension zu „Metric Spaces of Non-Positive Curvature “
"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
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