We show that a suitable notion of Dirac-Jacobi structure on a generic line bundle $ L $, is
provided by Dirac structures in the omni-Lie algebroid of $ L $. Dirac-Jacobi structures on …

Jacobi algebroids (ie'Jacobi versions' of Lie algebroids) are studied in the context of graded
Jacobi brackets on graded commutative algebras. This unifies various concepts of graded …

Contact manifolds and generalized complex structures - ScienceDirect Skip to main contentSkip
to article Elsevier logo Journals & Books Search RegisterSign in View PDF Download full issue …

We study twisted Jacobi manifolds, a concept that we had introduced in a previous note.
Twisted Jacobi manifolds can be characterized using twisted Dirac–Jacobi, which are sub …

Dirac structures for generalized Lie bialgebroids Page 1 Journal of Physics A: Mathematical
and General Dirac structures for generalized Lie bialgebroids To cite this article: JM Nunes da …

We present a systematic treatment of line bundle geometry and Jacobi manifolds with an
application to geometric mechanics that has not been noted in the literature. We precisely …

We extend known prequantization procedures for Poisson and presymplectic manifolds by
defining the prequantization of a Dirac manifold P as a principal U (1)-bundle Q with a …

We propose a definition of a" higher" version of the omni-Lie algebroid and study its isotropic
and involutive subbundles. Our higher omni-Lie algebroid is to (multi) contact and related …

We study precontact groupoids whose infinitesimal counterparts are Dirac–Jacobi
structures. These geometric objects generalize contact groupoids. We also explain the …

Generalised contact structures are studied from the point of view of reduced generalised
complex structures, naturally incorporating non-coorientable structures as non-trivial …