TY - JOUR
ID - 1960
TI - Para-Kähler hom-Lie algebras of dimension 2
JO - Journal of Finsler Geometry and its Applications
JA - JFGA
LA - en
SN -
AU - Peyghan, Esmaeil
AU - Nourmohammadifar, Leila
AD - Department of Mathematics, Faculty of Science, Arak university, Arak, Iran
AD - Department of Mathematics, Faculty of Science, Arak University
Arak, 38156-8-8349, Iran.
Y1 - 2022
PY - 2022
VL - 3
IS - 2
SP - 119
EP - 138
KW - Almost para-Hermitian structure
KW - hom-Levi-Civita product
KW - para- Kähler hom-Lie algebra
DO - 10.22098/jfga.2022.11916.1079
N2 - 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.
UR - https://jfga.uma.ac.ir/article_1960.html
L1 - https://jfga.uma.ac.ir/article_1960_c36f1d44ba66eb9cdf7397e967864f41.pdf
ER -