Left-invariant para-Kahler structures on six-dimensional nilpotent Lie groups
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Published:2022
Issue:78
Volume:
Page:38-48
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ISSN:1998-8621
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Container-title:Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mekhanika
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language:
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Short-container-title:Tomsk State University Journal of Mathematics and Mechanics
Author:
Smolentsev Nikolay K.,
Abstract
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.
Publisher
Tomsk State University
Subject
Mechanical Engineering,Mechanics of Materials,General Mathematics,Computational Mechanics