Induced polynomial structures on generalized geometry
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2022Derechos
Attribution 4.0 International
Publicado en
Turkish journal of mathematics. (2022) 46: 1492 ? 1507
Editorial
TUBITAK
Palabras clave
Generalized tangent bundle
Almost symplectic structure
Almost complex structure
Almost paracomplex structure
Almost product structure
Almost tangent structure
Resumen/Abstract
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.
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