On the gauge-natural operators similar to the twisted Dorfman-Courant bracket

All [formula]-gauge-natural operators C sending linear 3-forms [formula] on a smooth [formula] vector bundle E into R-bilinear operators [formula] transforming pairs of linear sections of [formula] into linear sections of [formula] are completely described. The complete descriptions is given of all generalized twisted Dorfman-Courant brackets C (i.e. C as above such that C0 is the Dorfman-Courant bracket) satisfying the Jacobi identity for closed linear 3-forms H . An interesting natural characterization of the (usual) twisted Dorfman-Courant bracket is presented.

---

Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2021).