12 papers
Non-unital monoidal category of contact manifolds and Legendrian correspondence
Yong-Geun Oh, Junhyuk Park
There are two purposes of the present paper which are interrelated. The first goal is to construct the structure of a non-unital monoidal category of contact mani…
Quantifying information flow along a stochastic trajectory
Yongjae Oh, Euijoon Kwon, Yongjoo Baek
Stochastic information flow (SIF) quantifies information flow at the trajectory level, overcoming the limitations of conventional symmetric, ensemble-averaged measures. However, co…
Metriplectic dynamical systems on contact manifolds
Philip J. Morrison, Yong-Geun Oh
Flows on symplectic, Poisson, contact, and metriplectic manifolds are reviewed in order to describe our main result, which is to associate a natural metriplectic dynamical system o…
Stratifications associated to generic closed two-forms and stratified spaces
Taesu Kim, Yong-Geun Oh
Jae-Suk Park and the second-named author introduce the deformation problem of coisotropic submanifolds of a symplectic manifold as the study of Mauer-Cartan moduli problem of an $L…
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…
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…