Article ID Journal Published Year Pages File Type
4659584 Topology and its Applications 2011 9 Pages PDF
Abstract

We consider a geodesically complete and proper Hadamard metric measure space X endowed with a Borel measure. Assuming that there exists a certain non-amenable group of isometry of X which acts freely, properly discontinuously and cocompactly on X and preserves the measure we show that the topological entropy of the geodesic flow on the orbit space is positive.

Related Topics
Physical Sciences and Engineering Mathematics Geometry and Topology