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 18 条

[1] Anti-abelian nearly Kähler structures on nilpotent Lie algebras
E. Peyghan
L. Nourmohammadifar
Periodica Mathematica Hungarica, 2018, 77 : 291 - 317
[2] Pseudo-Kahler Lie algebras with Abelian complex structures
Bajo, Ignacio
Sanmartin, Esperanza
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2012, 45 (46)
[3] Balanced Hermitian structures on almost abelian Lie algebras
Fino, Anna
Paradiso, Fabio
JOURNAL OF PURE AND APPLIED ALGEBRA, 2023, 227 (02)
[4] ABELIAN BALANCED HERMITIAN STRUCTURES ON UNIMODULAR LIE ALGEBRAS
Andrada, Adrian
Villacampa, Raquel
TRANSFORMATION GROUPS, 2016, 21 (04) : 903 - 927
[5] Almost Kahler structures on four dimensional unimodular Lie algebras
Li, Tian-Jun
Tomassini, Adriano
JOURNAL OF GEOMETRY AND PHYSICS, 2012, 62 (07) : 1714 - 1731
[6] Nearly para-Kahler geometry on Lie groups
Nourmohammadifar, Leila
Peyghan, Esmaeil
QUAESTIONES MATHEMATICAE, 2022, 45 (11) : 1713 - 1738
[7] Lattices in almost abelian Lie groups with locally conformal Kahler or symplectic structures
Andrada, A.
Origlia, M.
MANUSCRIPTA MATHEMATICA, 2018, 155 (3-4) : 389 - 417
[8] Complex structures on nilpotent Lie algebras with one-dimensional center
Latorre, Adela
Ugarte, Luis
Villacampa, Raquel
JOURNAL OF ALGEBRA, 2023, 614 : 271 - 306
[9] Statistical Lie algebras of constant curvature and locally conformally Kahler Lie algebras
Osipov, Pavel
BULLETIN MATHEMATIQUE DE LA SOCIETE DES SCIENCES MATHEMATIQUES DE ROUMANIE, 2022, 65 (03): : 341 - 358
[10] Locally conformally Kahler structures on four-dimensional solvable Lie algebras
Angella, Daniele
Origlia, Marcos
COMPLEX MANIFOLDS, 2020, 7 (01): : 1 - 35

← 1 2 →