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From complex contact structures to real almost contact 3-structures

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Autor(es):
Correa, Eder M.
Número total de Autores: 1
Tipo de documento: Artigo Científico
Fonte: ANNALS OF GLOBAL ANALYSIS AND GEOMETRY; v. 65, n. 1, p. 28-pg., 2024-02-01.
Resumo

We prove that every complex contact structure gives rise to a distinguished type of almost contact metric 3-structure. As an application, we provide several new examples of manifolds which admit taut contact circles, taut and round almost cosymplectic 2-spheres, and almost hypercontact (metric) structures. These examples generalize the well-known examples of contact circles defined by the Liouville-Cartan forms on the unit cotangent bundle of Riemann surfaces. Further, we provide sufficient conditions for a compact complex contact manifold to be the twistor space of a positive quaternionic Kahler manifold. (AU)

Processo FAPESP: 22/10429-3 - Geometria hermitiana com torção em fibrados principais e aplicações
Beneficiário:Eder de Moraes Correa
Modalidade de apoio: Auxílio à Pesquisa - Regular