| Texto completo | |
| Autor(es): |
Correa, Eder M.
Número total de Autores: 1
|
| Tipo de documento: | Artigo Científico |
| Fonte: | ASIAN JOURNAL OF MATHEMATICS; v. 28, n. 3, p. 64-pg., 2024-06-01. |
| Resumo | |
In this paper, we provide an explicit description of normal almost contact structures obtained from Cartan-Ehresmann connections (gauge fields) on principal S1-bundles over complex flag manifolds. The main feature of our approach is to employ elements of representation theory of complex simple Lie algebras to describe and classify these structures. As application we use these normal almost contact structures to explicitly describe a huge class of examples of compact Hermitian non-Kahler manifolds which generalizes Calabi-Eckmann manifolds. Further, in the setting of KT structures on toric bundles over flag manifolds, we describe a huge class of explicit examples of Calabi-Yau structures with torsion (CYT) on certain Vaisman manifolds. Also, we provide several new concrete examples of astheno-Kahler structures on products of compact homogeneous Sasaki manifolds. (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 |