On Existence of Regular Jacobi Structures

TL;DR

This paper establishes an h-principle for certain foliations on open manifolds and interprets these results in terms of regular Jacobi structures, advancing the understanding of geometric structures on manifolds.

Contribution

It proves the h-principle for locally conformal symplectic and contact foliations and relates these to regular Jacobi structures, providing new insights into their existence.

Findings

Proved h-principle for locally conformal symplectic foliations

Proved h-principle for contact foliations on open manifolds

Connected contact foliations with regular Jacobi structures

Abstract

We prove $h$-principle for locally conformal symplectic foliations and contact foliations on open manifolds. We interpret the result on $h$ principle of contact foliations in terms of the regular Jacobi structures.