Admissible Hyper-Complex Pseudo-Hermitian Structures
- Authors: Galaev S.V.1
-
Affiliations:
- Saratov State University
- Issue: Vol 39, No 1 (2018)
- Pages: 71-76
- Section: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/200890
- DOI: https://doi.org/10.1134/S1995080218010122
- ID: 200890
Cite item
Abstract
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.
About the authors
S. V. Galaev
Saratov State University
Author for correspondence.
Email: sgalaev@mail.ru
Russian Federation, ul. Astrakhanskaya 83, Saratov, 410012