H-twisted Courant algebroids
classification
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courantalgebroidalgebroidsanchorclosedcohomologycovariantdefine
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We generalize Hansen--Strobl's definition of $H$-twisted Courant algebroid such that the twist $H$ of the Jacobi identity is a 4-form in the kernel of the anchor map and is closed under a naturally occurring exterior covariant derivative. We give examples and define a cohomology.
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