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- Publisher
- Springer Journals
- Copyright
- Copyright © Hebrew University 2005
- ISSN
- 0021-2172
- eISSN
- 1565-8511
- DOI
- 10.1007/bf02772539
- Publisher site
- See Article on Publisher Site
Abstract
In this paper we show that the geodesic flow on a compact locally symmetric space of nonpositive curvature has a unique invariant measure of maximal entropy. As an application to dynamics we show that closed geodesics are uniformly distributed with respect to this measure. Furthermore, we prove that the volume entropy is minimized at a compact locally symmetric space of nonpositive curvature among all conformally equivalent metrics with the same total volume.
Journal
Israel Journal of Mathematics – Springer Journals
Published: Dec 1, 2005
Keywords: Invariant Measure; Symmetric Space; Maximal Entropy; Topological Entropy; Closed Geodesic