Quasiconformal contact foliations
Dynamical Systems
2023-06-29 v2
Abstract
We show that every quasiconformal contact foliation supports an invariant metric and characterise such foliations by the dynamical property of -equicontinuity. We prove that a generalisation of the Weinstein conjecture holds for quasiconformal contact foliations, and provide a lower bound to the number of closed leaves. In particular, we show that the Weinstein conjecture holds for quasiconformal Reeb fields.
Keywords
Cite
@article{arxiv.2301.01738,
title = {Quasiconformal contact foliations},
author = {Douglas Finamore},
journal= {arXiv preprint arXiv:2301.01738},
year = {2023}
}