Geodesic
On parasasakian structures on five-dimensional Lie algebras
Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 69 (2021), pp. 37-52

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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 $(\mathfrak{h},\omega)$.
Mots-clés : para-complex structure, para-contact structure
Keywords: left-invariant para-Kahler structure, left-invariant para-Sasakian structures. 
@article{VTGU_2021_69_a3,
     author = {N. K. Smolentsev and I. Y. Shagabudinova},
     title = {On parasasakian structures on five-dimensional {Lie} algebras},
     journal = {Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika},
     pages = {37--52},
     publisher = {mathdoc},
     number = {69},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VTGU_2021_69_a3/}
}
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N. K. Smolentsev; I. Y. Shagabudinova. On parasasakian structures on five-dimensional Lie algebras. Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 69 (2021), pp. 37-52. http://geodesic.mathdoc.fr/item/VTGU_2021_69_a3/