Lichnerowicz-Jacobi cohomology and homology of Jacobi manifolds: modular class and duality

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dc.creatorde Leon, Manuel
dc.creatorLopez, Belen
dc.creatorMarrero, Juan C.
dc.creatorPadron, Edith
dc.date1999-10-15
dc.date.accessioned2026-07-07T05:31:11Z
dc.date.available2026-07-07T05:31:11Z
dc.descriptionLichnerowicz-Jacobi cohomology and homology of Jacobi manifolds are reviewed. We present both in a unified approach using the representation of the Lie algebra of functions on itself by means of the hamiltonian vector fields. The use of the associated Lie algebroid allows to prove that the Lichnerowicz-Jacobi cohomology and homology are invariant under conformal changes of the Jacobi structure and to stablish the duality between Lichnerowicz-Jacobi cohomology and homology when the modular class vanishes. We also compute the Lichnerowicz-Jacobi cohomology and homology for a large variety of examples.
dc.identifierhttps://arxiv.org/abs/math/9910079
dc.identifierhttp://arxiv.org/abs/math/9910079
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/79247
dc.subjectDifferential Geometry
dc.subjectSymplectic Geometry
dc.subject58F05; 53C15; 17B56
dc.titleLichnerowicz-Jacobi cohomology and homology of Jacobi manifolds: modular class and duality
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