English

Leibniz algebroids, generalized Bismut connections and Einstein-Hilbert actions

High Energy Physics - Theory 2015-12-09 v1 Differential Geometry

Abstract

Connection, torsion and curvature are introduced for general (local) Leibniz algebroids. Generalized Bismut connection on TMΛpTMTM \oplus \Lambda^{p} T^{\ast}M is an example leading to a scalar curvature of the form R+H2R + H^2 for a closed (p+2)(p+2)-form HH.

Keywords

Cite

@article{arxiv.1503.03069,
  title  = {Leibniz algebroids, generalized Bismut connections and Einstein-Hilbert actions},
  author = {Branislav Jurco and Jan Vysoky},
  journal= {arXiv preprint arXiv:1503.03069},
  year   = {2015}
}