A Jacobi Coupling Construction on Associated Bundles

Emmanuel Davakan; Djideme Franck Houenou; Aissa Wade

A Jacobi Coupling Construction on Associated Bundles

Differential Geometry 2026-06-29 v1

Authors: Emmanuel Davakan , Djideme Franck Houenou , Aissa Wade

Abstract

We extend the Sternberg--Weinstein coupling construction to the Jacobi geometry setting. Starting from a Jacobi Hamiltonian $G$ -space and a principal bundle equipped with a connection whose curvature satisfies some nondegeneracy condition, we show that the associated bundle naturally carries a Jacobi structure compatible with the canonical ones on the fibers. This construction provides a unified framework encompassing the symplectic, locally conformal symplectic, and contact cases. It reveals new coupling phenomena related to the presence of the Reeb vector field.

Cite

@article{arxiv.2606.30614,
  title  = {A Jacobi Coupling Construction on Associated Bundles},
  author = {Emmanuel Davakan and Djideme Franck Houenou and Aissa Wade},
  journal= {arXiv preprint arXiv:2606.30614},
  year   = {2026}
}