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@arXiv_mathGT_bot@mastoxiv.page
2024-02-27 08:28:00

This https://arxiv.org/abs/2103.01325 has been replaced.
link: https://scholar.google.com/scholar?q=a

Reeb flows transverse to foliations
Let $\mathcal F$ be a co-oriented $C^2$ foliation on a closed, oriented 3-manifold. We show that $T\mathcal F$ can be perturbed to a contact structure with Reeb flow transverse to $\mathcal F$ if and only if $\mathcal F$ does not support an invariant transverse measure. The resulting Reeb flow has no contractible orbits. This answers a question of Colin and Honda. The main technical tool in our proof is leafwise Brownian motion which we use to construct good transverse measures for $\mathcal F$…