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Jacobi structures with background

Eugen-Mihaita Cioroianu

Department of Mathematics, West University of Timisoara, Bd. V. Pârvan 4, Timişoara 300223, Romania

E-mail Address: eugen.cioroianu@e-uvt.ro

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and

Cornelia Vizman

http://orcid.org/0000-0002-5551-3984

Department of Mathematics, West University of Timisoara, Bd. V. Pârvan 4, Timişoara 300223, Romania

E-mail Address: cornelia.vizman@e-uvt.ro

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https://doi.org/10.1142/S0219887820500632Cited by:0 (Source: Crossref)

Abstract

Combining the twisted Jacobi structure [Twisted Jacobi manifolds, twisted Dirac–Jacobi structures and quasi-Jacobi bialgebroids, J. Phys. A: Math. Gen.39(33) (2006) 10449–10475] with that of a Poisson structure with a 3-form background [Poisson geometry with a 3-form background, Prog. Theor. Phys. Suppl.144 (2001) 145–154], alias twisted Poisson, we propose and analyze a new structure, called Jacobi structure with background. The background is a pair consisting of a $3$ -form and a $2$ -form. We describe their characteristic leaves. For twisted contact dual pairs, we show the correspondence of characteristic leaves of the two Jacobi manifolds with background.

Keywords:

AMSC: 53C12, 53D10, 53D17

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