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

[41] CHARACTERISTICALLY NILPOTENT LIE ALGEBRAS
LEGER, G
TOGO, S
DUKE MATHEMATICAL JOURNAL, 1959, 26 (04) : 623 - 628
[42] NILPOTENT LIE AND LEIBNIZ ALGEBRAS
Ray, Chelsie Batten
Combs, Alexander
Gin, Nicole
Hedges, Allison
Hird, J. T.
Zack, Laurie
COMMUNICATIONS IN ALGEBRA, 2014, 42 (06) : 2404 - 2410
[43] CONTACT NILPOTENT LIE ALGEBRAS
Alvarez, M. A.
Rodriguez-Vallarte, M. C.
Salgado, G.
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2017, 145 (04) : 1467 - 1474
[44] A class of nilpotent Lie algebras
Cabezas, JM
Camacho, LM
Gómez, JR
Navarro, RM
COMMUNICATIONS IN ALGEBRA, 2000, 28 (09) : 4489 - 4499
[45] Frattinian nilpotent Lie algebras
Kianmehr, Mehri
Saeedi, Farshid
COMMUNICATIONS IN ALGEBRA, 2024, 52 (03) : 1290 - 1296
[46] Dimensionally nilpotent lie algebras
Eberlin, V
COMMUNICATIONS IN ALGEBRA, 2000, 28 (01) : 183 - 191
[47] Representations of nilpotent Lie algebras
Rolf Farnsteiner
Archiv der Mathematik, 1999, 72 : 28 - 39
[48] On the tensor square of non-abelian nilpotent finite-dimensional Lie algebras
Niroomand, Peyman
LINEAR & MULTILINEAR ALGEBRA, 2011, 59 (08): : 831 - 836
[49] Abelian factors in 2-step nilpotent Lie algebras constructed from graphs
DeCoste, Rachelle
DeMeyer, Lisa
Mainkar, Meera
Ray, Allie
COMMUNICATIONS IN ALGEBRA, 2023, 51 (05) : 2155 - 2175
[50] On Characterizing Pairs of Non-Abelian Nilpotent and Filiform Lie Algebras by their Schur Multipliers
Arabyani, H.
Safa, H.
Saeedi, F.
JOURNAL OF MATHEMATICAL EXTENSION, 2016, 10 (04) : 61 - 73

← 1 2 3 4 5 →