By Athanase Papadopoulos

This e-book is set metric areas of nonpositive curvature within the experience of Busemann, that's, metric areas whose distance functionality satisfies a convexity situation. The e-book additionally includes a systematic advent to metric geometry, in addition to a close presentation of a few features of convexity idea which are valuable within the learn of nonpositive curvature. The options and the recommendations are illustrated by way of many examples, particularly from hyperbolic geometry, Hilbert geometry and Teichmüller concept. For the second one variation, a few corrections and some additions were made, and the bibliography has been up-to-date. A booklet of the eu Mathematical Society. dispensed in the Americas via the yankee Mathematical Society.

**Read or Download Metric Spaces, Convexity and Nonpositive Curvature (IRMA Lectures in Mathematics & Theoretical Physics) (Irma Lectures in Mathematics and Theoretical Physics) PDF**

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