Courant-Dorfman algebras of differential operators and Dorfman connections of Courant algebroids
We construct an algebra and a complex of multidifferential operators on tensor products of a Courant algebroid E with values in the endomorphism bundle of a smooth vector bundle B, predual of E, extending the standard complex of the Courant-Dorfman algebra of E. Also, we study Dorfman connections of E on B, and show that the Cartan calculus, curvatures of induced connections and basic differential geometric identities of them make sense in this algebra.
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Differential Geometry
53C05, 53D17, 58J10, 58A15, 16S32, 17B35, 17B55, 70G45
