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

共 50 条

[31] Para-Kahler and pseudo-Kahler structures on Lie-Yamaguti algebras
Zhao, Jia
Feng, Yuqin
Qiao, Yu
JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2024,
[32] Nilpotent orbits in simple Lie algebras and their transverse Poisson structures
Damianou, P. A.
Sabourin, H.
Vanhaecke, P.
GEOMETRY AND PHYSICS XVI INTERNATIONAL FALL WORKSHOP, 2008, 1023 : 148 - +
[33] 2-step nilpotent Lie algebras and symplectic structures
Midoune, Noureddine
JOURNAL OF LIE THEORY, 2013, 23 (01) : 217 - 228
[34] Affine structures on 4-step nilpotent Lie algebras
Dekimpe, K
Hartl, M
JOURNAL OF PURE AND APPLIED ALGEBRA, 1997, 120 (01) : 19 - 37
[35] Free nilpotent and nilpotent quadratic Lie algebras
Benito, P.
de-la-Concepcion, D.
Laliena, J.
LINEAR ALGEBRA AND ITS APPLICATIONS, 2017, 519 : 296 - 326
[36] On nilpotent extensions of Lie algebras
Yankosky, B
HOUSTON JOURNAL OF MATHEMATICS, 2001, 27 (04): : 719 - 724
[37] Representations of nilpotent Lie algebras
Farnsteiner, R
ARCHIV DER MATHEMATIK, 1999, 72 (01) : 28 - 39
[38] NILPOTENT LIE-ALGEBRAS
CHAO, CY
STITZINGER, EL
ARCHIV DER MATHEMATIK, 1976, 27 (03) : 249 - 252
[39] Degenerations of nilpotent Lie algebras
Burde, D
JOURNAL OF LIE THEORY, 1999, 9 (01) : 193 - 202
[40] Gradings for Nilpotent Lie Algebras
Hakavuori, Eero
Kivioja, Ville
Moisala, Terhi
Tripaldi, Francesca
JOURNAL OF LIE THEORY, 2022, 32 (02) : 383 - 412

← 1 2 3 4 5 →