On parasasakian structures on five-dimensional Lie algebras | Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mekhanika – Tomsk State University Journal of Mathematics and Mechanics. 2021. № 69. DOI: 10.17223/19988621/69/4

On parasasakian structures on five-dimensional Lie algebras

Para-Sasakian structures on five-dimensional contact Lie algebras ɠ with nonzero center are considered. Such Lie algebras are central extensions of the four-dimensional para-Kähler Lie algebras (ɧ, ω). 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 (ɧ, ω). AMS Mathematical Subject Classification: 53C15, 53D10, 53C25, 53C50

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Keywords

para-complex structure, left-invariant para-Kahler structure, para-contact structure, left-invariant para-Sasakian structures

Authors

Name	Organization	E-mail
Smolentsev Nikolay K.	Kemerovo State University	smolennk@mail.ru
Shagabudinova Irina Y.	Kemerovo State University	shagabudinovai@mail.ru

Всего: 2

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