Local Rigidity for Simultaneous Diophantine Translations on Tori of Arbitrary Dimension
Dynamical Systems
2018-04-30 v1
Abstract
We show that a smooth sufficiently small perturbation of a action on the torus by simultaneously Diophantine translations, is smoothly conjugate to the unperturbed action under a natural condition on the rotation sets. This generalizes recent result of Karaliolios [4] of the action generators to higher rank abelian actions, and the result of Moser [8] to higher dimensional tori.
Cite
@article{arxiv.1804.10290,
title = {Local Rigidity for Simultaneous Diophantine Translations on Tori of Arbitrary Dimension},
author = {Boris Petković},
journal= {arXiv preprint arXiv:1804.10290},
year = {2018}
}
Comments
13 pages