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RESEARCH PRODUCT

The structure of Fedosov supermanifolds

Jaime Muñoz-masquéJuan MonterdeJosé A. Vallejo

subject

Pure mathematicsMathematical analysisHolomorphic functionGeneral Physics and AstronomyCurvatureManifoldConnection (mathematics)Tensor fieldSupermanifoldMathematics::Differential GeometryGeometry and TopologySectional curvatureMathematics::Symplectic GeometryMathematical PhysicsMathematicsSymplectic geometry

description

Abstract Given a supermanifold ( M , A ) which carries a supersymplectic form ω , we study the Fedosov structures that can be defined on it, through a set of tensor fields associated to any symplectic connection ∇ . We give explicit recursive expressions for the resulting curvature and study the particular case of a base manifold M with constant holomorphic sectional curvature.

yearjournalcountryeditionlanguage
2009-04-01Journal of Geometry and Physics
https://doi.org/10.1016/j.geomphys.2009.02.001