Riemannian Geometry on Hom-ρ-commutative Algebras

作     者：Zahra BAGHERI Esmaeil PEYGHAN Zahra BAGHERI;Esmaeil PEYGHAN

作者机构：Department of MathematicsFaculty of ScienceArak UniversityArak38156-8-8349Iran 

出 版 物：《Chinese Annals of Mathematics,Series B》 (数学年刊（B辑英文版）)

年 卷 期：2022年第43卷第2期

页      面：175-194页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

主　　题：Extended hyper-plan Hom-ρ-commutative algebra ρ-Poisson bracket 

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 *** 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 *** notions of symplectic structures and Poisson structures are included and an example ofρ-Poisson bracket is given.