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Metric Spaces, Convexity and Nonpositive Curvature
ISBN: 3037190108
标签: 科学工程
Athanase Papadopoulos, \"Metric Spaces, Convexity and Nonpositive Curvature \"
Euro.n Math S-ty | 2004 | ISBN: 3037190108 | 300 pages | PDF | 1,7 MB
This book covers metric spaces of nonpositive curvature in the sense of Busemann, that is, metric spaces whose distance function satisfies a convexity condition. Also contained is a systematic introduction to the theory of geodesics as well as a detailed presentation of some facets of convexity theory, which are useful in the study of nonpositive curvature. Concepts and techniques discussed in the volume are illustrated by many examples from classical hyperbolic geometry and from the theory of Teichm眉ller spaces. It is useful for graduate students and researchers in geometry, topology and analysis.
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