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arXiv · 2504.16458

Strict contactomorphisms are scarce

Yong-Geun Oh·Yasha Savelyev
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Abstract

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 $\lambda$ the set, denoted by $\text{\rm Cont}^{\text{\rm st}}(M,\lambda)$, consisting of strict contactomorphisms of $\lambda$ is a a countable disjoint union of real lines $\mathbb R$, one for each connected component.

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Yong-Geun Oh, Yasha Savelyev. 2025-04-23. Strict contactomorphisms are scarce. https://arxiv.org/abs/2504.16458

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