Leibniz algebroids, generalized Bismut connections and Einstein-Hilbert actions

Published 10 Mar 2015 in hep-th and math.DG | (1503.03069v1)

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

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