Search results for "Lie algebroid"

showing 2 items of 2 documents

Star calculus on Jacobi manifolds

2002

Abstract We study the Gerstenhaber bracket on differential forms induced by the two main examples of Jacobi manifolds: contact manifolds and l.c.s. manifolds. Moreover, we obtain explicit expressions of the generating operators and the derivations on the algebra of multivector fields. We define star operators for contact manifolds and l.c.s. manifolds and we study some of its properties.

Pure mathematicsDifferential formStar operatorMathematical analysisContact manifoldMathematics::Geometric TopologyGerstenhaber algebraConnected sumManifoldComputational Theory and MathematicsRicci-flat manifoldDifferential topologyGraded Poisson bracketsMathematics::Differential GeometryGeometry and TopologyLocally conformal symplectic manifoldLie algebroidMathematics::Symplectic GeometryHyperkähler manifoldAnalysisMathematicsSymplectic geometryPoisson algebraDifferential Geometry and its Applications
researchProduct

Nambu-Poisson manifolds and associated n-ary Lie algebroids

2001

We introduce an n-ary Lie algebroid canonically associated with a Nambu-Poisson manifold. We also prove that every Nambu-Poisson bracket defined on functions is induced by some differential operator on the exterior algebra, and characterize such operators. Some physical examples are presented.

Lie algebroidPure mathematicsHigh Energy Physics::PhenomenologyGeneral Physics and AstronomyFOS: Physical sciencesStatistical and Nonlinear PhysicsMathematical Physics (math-ph)Poisson distributionDifferential operatorManifoldsymbols.namesakeBracket (mathematics)symbolsExterior algebraMathematics::Symplectic GeometryMathematical PhysicsMathematics
researchProduct