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Peyghan, Esmaeil, Nourmohammadifar, Leila. (1401). Para-Kähler hom-Lie algebras of dimension 2. سامانه مدیریت نشریات علمی, 3(2), 119-138. doi: 10.22098/jfga.2022.11916.1079
Esmaeil Peyghan; Leila Nourmohammadifar. "Para-Kähler hom-Lie algebras of dimension 2". سامانه مدیریت نشریات علمی, 3, 2, 1401, 119-138. doi: 10.22098/jfga.2022.11916.1079
Peyghan, Esmaeil, Nourmohammadifar, Leila. (1401). 'Para-Kähler hom-Lie algebras of dimension 2', سامانه مدیریت نشریات علمی, 3(2), pp. 119-138. doi: 10.22098/jfga.2022.11916.1079
Peyghan, Esmaeil, Nourmohammadifar, Leila. Para-Kähler hom-Lie algebras of dimension 2. سامانه مدیریت نشریات علمی, 1401; 3(2): 119-138. doi: 10.22098/jfga.2022.11916.1079

Para-Kähler hom-Lie algebras of dimension 2

Journal of Finsler Geometry and its Applications
دوره 3، شماره 2، اسفند 2022، صفحه 119-138    اصل مقاله (112.02 K)
نوع مقاله: Original Article
شناسه دیجیتال (DOI): 10.22098/jfga.2022.11916.1079
نویسندگان
Esmaeil Peyghan* 1؛ Leila Nourmohammadifar2
1Department of Mathematics, Faculty of Science, Arak university, Arak, Iran
2Department of Mathematics, Faculty of Science, Arak University Arak, 38156-8-8349, Iran.
چکیده
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.
کلیدواژه‌ها
Almost para-Hermitian structure؛ hom-Levi-Civita product؛ para- Kähler hom-Lie algebra
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