Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4659584 | Topology and its Applications | 2011 | 9 Pages |
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.
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