2025/04/23 by Yong‐Geun Oh, Oh, Yong-Geun, Yasha Savelyev +1
Mathematics · #Geometric and Algebraic Topology #Geometric Analysis and Curvature Flows #Mathematical Dynamics and Fractals
paper · pdf · doi:10.48550/arxiv.2504.16458
The notion of non-projectible contact forms on a given compact manifold M is introduced by the first-named author in [Ohb], the set of which he also shows is a residual subset of the set of (coorientable) contact forms, both in the case with a fixed contact structure and in the case without it. In this paper, we prove that for any non-projectible contact form λ the set, denoted by \rm Cont\rm st(M,λ), consisting of strict contactomorphisms of λ is a a countable disjoint union of real lines \mathbb R, one for each connected component.