Anti-abelian nearly Kahler structures on nilpotent Lie algebras

被引：0

作者：

Peyghan, E. ^{[1
]}

Nourmohammadifar, L. ^{[1
]}

机构：

[1] Arak Univ, Fac Sci, Dept Math, Arak 3815688349, Iran

来源：

PERIODICA MATHEMATICA HUNGARICA | 2018年 / 77卷 / 02期

关键词：

Almost para-Hermitian structure; (Strict)anti-abelian nearly para-Kahler Lie algebras; MANIFOLDS; FLAT;

D O I：

10.1007/s10998-018-0244-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

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-Kahler structures.

引用

页码：291 / 317

页数：27

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