Induced polynomial structures on generalized geometry

Abstract

In this paper, we study different geometric structures that can be defined as section endomorphisms of the generalized tangent bundle TM := TM ⊕ T^∗M → M . This vector bundle admits some structures that arise canonically and other that can be induced from geometric structures defined on the manifold. We comment some well-known examples and present new structures, focusing on the polynomial structures that can be induced in the generalized tangent bundle.