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arXiv · 2606.30614

A Jacobi Coupling Construction on Associated Bundles

Emmanuel Davakan·Djideme Franck Houenou·Aissa Wade
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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.

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Emmanuel Davakan, Djideme Franck Houenou, Aissa Wade. 2026-06-29. A Jacobi Coupling Construction on Associated Bundles. https://arxiv.org/abs/2606.30614

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