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.
PDF AbstractCategories
Differential Geometry
53C05, 53D17, 58J10, 58A15, 16S32, 17B35, 17B55, 70G45