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Ricci tensor in graded geometry

Publication at Faculty of Mathematics and Physics |
2020

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. (C) 2020 The Author(s).

Published by Elsevier B.V.