Left-invariant para-Kahler structures on six-dimensional nilpotent Lie groups | Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mekhanika – Tomsk State University Journal of Mathematics and Mechanics. 2022. № 78. DOI: 10.17223/19988621/78/3

Left-invariant para-Kahler structures on six-dimensional nilpotent Lie groups

Left-invariant para-complex structures on six-dimensional nilpotent Lie groups are considered. A complete list of six-dimensional nilpotent Lie groups that admit para-Kähler structures is obtained, explicit expressions for para-complex structures are found, and curvature properties of associated para-Kähler metrics are investigated. It is shown that paracomplex structures are nilpotent and the corresponding para-Kähler metrics are Ricci-flat.

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Keywords

six-dimensional nilpotent Lie groups, symplectic Lie groups, para-complex structures, left-invariant para-Kahler structures

Authors

Name	Organization	E-mail
Smolentsev Nikolay K.	Kemerovo State University	smolennk@mail.ru

Всего: 1

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