论文标题
Courant-Dorfman差异操作员的代数和Courant代数的Dorfman连接
Courant-Dorfman algebras of differential operators and Dorfman connections of Courant algebroids
论文作者
论文摘要
我们在courant代数E的张量产物上构建了一个代数和一组多不同操作员，并在e的内态捆绑包中具有值的值，该捆绑捆绑是E的平滑载体束B，EDE的EDE，延伸了E的标准组件。在这个代数中，它们的身份很有意义。
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.
