English

Symplectic Connections on Supermanifolds: Existence and Non-Uniqueness

Symplectic Geometry 2014-09-11 v1 Differential Geometry

Abstract

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.

Keywords

Cite

@article{arxiv.1409.2989,
  title  = {Symplectic Connections on Supermanifolds: Existence and Non-Uniqueness},
  author = {Paul A. Blaga},
  journal= {arXiv preprint arXiv:1409.2989},
  year   = {2014}
}

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7 pages