Ricci tensor in graded geometry
Differential Geometry
2020-07-08 v3 High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
We define the notion of the Ricci tensor for NQ symplectic manifolds of degree 2 and show that it corresponds to the standard generalized Ricci tensor on Courant algebroids. We use an appropriate notion of connections compatible with the generalized metric on the graded manifold.
Cite
@article{arxiv.2001.03382,
title = {Ricci tensor in graded geometry},
author = {Fridrich Valach},
journal= {arXiv preprint arXiv:2001.03382},
year = {2020}
}
Comments
6 pages, minor changes, added references, accepted manuscript version