Anti-abelian nearly Kähler structures on nilpotent Lie algebras

被引：0

作者：

E. Peyghan

L. Nourmohammadifar

机构：

[1] Arak University,Department of Mathematics, Faculty of Science

来源：

Periodica Mathematica Hungarica | 2018年 / 77卷

关键词：

Almost para-Hermitian structure; (Strict)anti-abelian nearly para-Kähler Lie algebras; 53C15; 53C25; 53D05;

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摘要：

Morozov (Izv Vyss Ucebn Zaved Mat 4(5):161–171, 1958), classified six-dimensional nilpotent Lie algebras (see also Di Scala and Vezzoni in Ann Global Anal Geom 40:21–45, 2011 for more details). In this paper, we classify anti-abelian almost product structures for these Lie algebras. Then we determine anti-abelian almost para-complex structures on 6-dimensional nilpotent Lie algebras. Finally, it is shown that only one of them admits nearly para-Kähler structures.

引用

页码：291 / 317

页数：26