Rafael SANTAMARİA, Fernando ETAYO, Pablo GOMEZ NICOLAS

Induced polynomial structures on generalized geometry

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.

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