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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 | ||
مراجع | ||
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آمار تعداد مشاهده مقاله: 134 تعداد دریافت فایل اصل مقاله: 181 |