%0 Journal Article
%T Para-Kähler hom-Lie algebras of dimension 2
%J Journal of Finsler Geometry and its Applications
%I University of Mohaghegh Ardabili
%Z 2783-0500
%A Peyghan, Esmaeil
%A Nourmohammadifar, Leila
%D 2022
%\ 12/01/2022
%V 3
%N 2
%P 119-138
%! Para-Kähler hom-Lie algebras of dimension 2
%K Almost para-Hermitian structure
%K hom-Levi-Civita product
%K para- Kähler hom-Lie algebra
%R 10.22098/jfga.2022.11916.1079
%X In [12], authors introduced some geometric concepts such as (almost) product, para-complex, para-Hermitian and para-Kähler structures for hom-Lie algebras and they presented an example of a 4-dimensional hom-Lie algebra, which contains these concepts. In this paper, we classify two-dimensional hom-Lie algebras containing these structures. In particular, we show that there doesn't exist para-Kahler proper hom-Lie algebra of dimension 2.
%U https://jfga.uma.ac.ir/article_1960_c36f1d44ba66eb9cdf7397e967864f41.pdf