Admissible Hyper-Complex Pseudo-Hermitian Structures
- Autores: Galaev S.1
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Afiliações:
- Saratov State University
- Edição: Volume 39, Nº 1 (2018)
- Páginas: 71-76
- Seção: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/200890
- DOI: https://doi.org/10.1134/S1995080218010122
- ID: 200890
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Resumo
The notions of an admissible pseudo-Kählerian structure and of an admissible hypercomplex pseudo-Hermitian structure are introduced. On the distribution D of an almost contact structure (M, \(\vec \xi \), η, φ, g, D) with a Norden metric, using a prolonged connection ∇N, an admissible almost hyper-complex pseudo-Hermitian structure (\(D,{J_1},{J_2},{J_3},\vec u,\lambda = \eta \circ {\pi _*},\tilde g,\tilde D\)) is defined. It is shown that if the initial almost contact structure with a Norden metric is an admissible pseudo- Kählerian structure with zero Schouten curvature tensor, then the induced admissible almost hypercomplex pseudo-Hermitian structure on the distribution D is integrable.
Sobre autores
S. Galaev
Saratov State University
Autor responsável pela correspondência
Email: sgalaev@mail.ru
Rússia, ul. Astrakhanskaya 83, Saratov, 410012