6533b852fe1ef96bd12aaefe
RESEARCH PRODUCT
Star calculus on Jacobi manifolds
J.v. Beltransubject
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 algebradescription
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2002-03-01 | Differential Geometry and its Applications |