arXiv Analytics

Sign in

arXiv:1808.00781 [math.DS]AbstractReferencesReviewsResources

Non-hyperbolic behavior of geodesic flows of rank 1 surfaces

Katrin Gelfert

Published 2018-08-02Version 1

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.

Categories: math.DS
Subjects: 53D25, 37D40, 37D25, 37D35, 37C45
Related articles: Most relevant | Search more
arXiv:2009.11365 [math.DS] (Published 2020-09-23)
Geodesic flows modeled by expansive flows: Compact surfaces without conjugate points and continuous Green bundles
arXiv:1310.4088 [math.DS] (Published 2013-10-15, updated 2014-02-17)
Pressures for geodesic flows of rank one manifolds
arXiv:1106.0053 [math.DS] (Published 2011-05-31)
Thermodynamics for geodesic flows of rank 1 surfaces

Links

Toolbox