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This article is cited in 4 scientific papers (total in 4 papers)
MATHEMATICS
On parasasakian structures on five-dimensional Lie algebras
N. K. Smolentsev, I. Y. Shagabudinova Kemerovo State University, Kemerovo, Russia
Abstract:
Para-Sasakian structures on five-dimensional contact Lie algebras $\mathfrak{g}$ with nonzero center are considered. Such Lie algebras are central extensions of the four-dimensional para-Kähler Lie algebras $(\mathfrak{h},\omega)$. In this paper, a classification of five-dimensional para-Sasakian Lie algebras with a nontrivial center is proposed, based on the classification of para-Kähler structures $J$ on symplectic Lie algebras $(\mathfrak{h},\omega)$.
Keywords:
para-complex structure, left-invariant para-Kahler structure, para-contact structure, left-invariant para-Sasakian structures.
Received: 08.06.2020
Citation:
N. K. Smolentsev, I. Y. Shagabudinova, “On parasasakian structures on five-dimensional Lie algebras”, Vestn. Tomsk. Gos. Univ. Mat. Mekh., 2021, no. 69, 37–52
Linking options:
https://www.mathnet.ru/eng/vtgu826 https://www.mathnet.ru/eng/vtgu/y2021/i69/p37
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Abstract page: | 89 | Full-text PDF : | 35 | References: | 14 |
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