Search results for "Locally conformal symplectic manifold"

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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
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