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math.DG2025
Contact triad connection of contact manifolds in almost contact moving frame
Yong-Geun Oh
The notion of \emph{contact triad connection} on contact triads was introduced by Wang and the present author in early 2010's from scratch as the contact analog to the…
math.SG2025
Strict contactomorphisms are scarce
Yong-Geun Oh, Yasha Savelyev
The notion of non-projectible contact forms on a given compact manifold is introduced by the first-named author in [Ohb], the set of which he also shows is a residual subset of…
math.SG2025
Leafwise de Rham cohomology of generic Reeb foliations
Yong-Geun Oh
In this paper, we prove that there exists a residual subset of contact forms (if any) on any compact connected orientable manifold for which the foliation de Rham cohomolog…