典型文献
Riemannian Geometry on Hom-ρ-commutative Algebras
文献摘要：
Recently,some concepts such as Hom-algebras,Hom-Lie algebras,Hom-Lie admissible algebras,Hom-coalgebras are studied and some classical properties of algebras and some geometric objects are extended on them.In this paper by recalling the concept of Hom-ρ-commutative algebras,the authurs intend to develop some of the most classical results in Riemannian geometry such as metric,connection,torsion tensor,curvature tensor on it and also they discuss about differential operators and get some results of differential calculus by using them.The notions of symplectic structures and Poisson structures are included and an example of ρ-Poisson bracket is given.
文献关键词：
中图分类号：
作者姓名：
Zahra BAGHERI;Esmaeil PEYGHAN
作者机构：
Department of Mathematics,Faculty of Science,Arak University,Arak,38156-8-8349,Iran
文献出处：
引用格式：
[1]Zahra BAGHERI;Esmaeil PEYGHAN-.Riemannian Geometry on Hom-ρ-commutative Algebras)[J].数学年刊B辑（英文版）,2022(02):175-194
A类：
commutative,authurs
B类：
Riemannian,Geometry,Hom,Algebras,Recently,some,concepts,such,Lie,admissible,coalgebras,are,studied,classical,properties,geometric,objects,extended,them,In,this,paper,by,recalling,intend,develop,most,results,geometry,connection,torsion,tensor,curvature,it,also,they,discuss,about,differential,operators,get,calculus,using,notions,symplectic,structures,Poisson,included,example,bracket,given
AB值：
0.522409
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