Symplectic Connections on Supermanifolds: Existence and Non-Uniqueness
classification
🧮 math.SG
math.DG
keywords
symplecticconnectionsaffinecompatibledimensionalevenexistexistence
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We show, in this note, that on any symplectic supermanifold, even or odd, there exist an infinite dimensional affine space of symmetric connections, compatible to the symplectic form.
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