2026-04-05T10:52:22Zhttps://recercat.cat/oai/request

oai:recercat.cat:2072/3775272024-12-20T14:09:40Zcom_2072_199267com_2072_4427col_2072_199862

Contact isotropic realisations of Jacobi manifolds Salazar, M.A. Sepe, D. This paper investigates the local and global theory of contact isotropic realisations of Jacobi manifolds, which are contact realisations of minimal dimension. These arise in the study of integrable Hamiltonian systems on contact manifolds, while also extending the Boothby-Wang construction of regular contact manifolds. The main results of the paper are local smooth and contact normal forms for contact isotropic realisations, which, amongst other things, provide an intrinsic proof of the existence of local action-angle coordinates for integrable Hamiltonian systems, as well as a cohomological criterion to construct such realisations. Moreover, one of the smooth invariants of such realisations is interpreted as providing a type of transversal projective structure on the foliation of the underlying Jacobi structures. 2020-10-14T07:24:59Z 2024-09-19T13:15:29Z 2020-10-14T07:24:59Z 2024-09-19T13:15:29Z 2014-01-01 info:eu-repo/semantics/preprint http://hdl.handle.net/2072/377527 eng info:eu-repo/semantics/openAccess L'accés als continguts d'aquest document queda condicionat a l'acceptació de les condicions d'ús establertes per la següent llicència Creative Commons:http://creativecommons.org/licenses/by-nc-nd/4.0/ RECERCAT (Dipòsit de la Recerca de Catalunya)