arXiv Analytics

Sign in

arXiv:math/0412098 [math.DS]AbstractReferencesReviewsResources

Proof of the Morse conjecture for analytic flows on orientable surfaces

S. Aranson, E. Zhuzhoma

Published 2004-12-05Version 1

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.

Comments: 9 pages
Categories: math.DS
Related articles: Most relevant | Search more
arXiv:2101.04871 [math.DS] (Published 2021-01-13)
Fixed points of nilpotent actions on surfaces of negative Euler characteristic
arXiv:2202.06160 [math.DS] (Published 2022-02-12)
Hamiltonian approach for point vortices on non-orientable surfaces I: the Mobius band
arXiv:2202.06175 [math.DS] (Published 2022-02-13)
A Hamiltonian approach for point vortices on non-orientable surfaces II: the Klein bottle

Links

Toolbox