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   Para-Kähler hom-Lie algebras of dimension 2  
   
نویسنده peyghan esmaeil ,nourmohammadifar leila
منبع journal of finsler geometry and its applications - 2022 - دوره : 3 - شماره : 2 - صفحه:119 -138
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.
کلیدواژه Almost para-Hermitian structure ,hom-Levi-Civita product ,para-Kahler hom-Lie algebra
آدرس arak university, faculty of science, department of mathematics, Iran, arak university, faculty of science, department of mathematics, Iran
پست الکترونیکی l.nourmohammadi@gmail.com
 
     
   
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