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.
Peyghan, E., & Nourmohammadifar, L. (2022). Para-Kähler hom-Lie algebras of dimension 2. Journal of Finsler Geometry and its Applications, 3(2), 119-138. doi: 10.22098/jfga.2022.11916.1079
MLA
Esmaeil Peyghan; Leila Nourmohammadifar. "Para-Kähler hom-Lie algebras of dimension 2". Journal of Finsler Geometry and its Applications, 3, 2, 2022, 119-138. doi: 10.22098/jfga.2022.11916.1079
HARVARD
Peyghan, E., Nourmohammadifar, L. (2022). 'Para-Kähler hom-Lie algebras of dimension 2', Journal of Finsler Geometry and its Applications, 3(2), pp. 119-138. doi: 10.22098/jfga.2022.11916.1079
VANCOUVER
Peyghan, E., Nourmohammadifar, L. Para-Kähler hom-Lie algebras of dimension 2. Journal of Finsler Geometry and its Applications, 2022; 3(2): 119-138. doi: 10.22098/jfga.2022.11916.1079
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