Proof of the Morse conjecture for analytic flows on orientable surfaces
Dynamical Systems
2007-05-23 v1
Abstract
In 1946, M. Morse proposed a conjecture that an analytic topologically transitive systems is metrically transitive. We prove this Morse conjecture for flows on a closed orientable surface of negative Euler characteristic. As a consequence, the Morse conjecture is true for highly transitive flows on non-orientable surfaces.
Keywords
Cite
@article{arxiv.math/0412098,
title = {Proof of the Morse conjecture for analytic flows on orientable surfaces},
author = {S. Aranson and E. Zhuzhoma},
journal= {arXiv preprint arXiv:math/0412098},
year = {2007}
}
Comments
9 pages