Non-hyperbolic behavior of geodesic flows of rank 1 surfaces
Dynamical Systems
2018-08-03 v1
Abstract
We prove that for the geodesic flow of a rank 1 Riemannian surface which is expansive but not Anosov the Hausdorff dimension of the set of vectors with only zero Lyapunov exponents is large.
Keywords
Cite
@article{arxiv.1808.00781,
title = {Non-hyperbolic behavior of geodesic flows of rank 1 surfaces},
author = {Katrin Gelfert},
journal= {arXiv preprint arXiv:1808.00781},
year = {2018}
}