Generic measures for hyperbolic flows on non compact spaces
Dynamical Systems
2007-07-18 v1
Abstract
We consider the geodesic flow on a complete connected negatively curved manifold. We show that the set of invariant borel probability measures contains a dense -subset consisting of ergodic measures fully supported on the non-wandering set. We also trat the case of non-positively curved manifolds and provide general tools to deal with hyperbolic systems defined on non-compact spaces.
Cite
@article{arxiv.0707.2515,
title = {Generic measures for hyperbolic flows on non compact spaces},
author = {Yves Coudene and Barbara Schapira},
journal= {arXiv preprint arXiv:0707.2515},
year = {2007}
}