# Riemannian geometry on Hom-rho-commutative algebras

@article{Bagheri2018RiemannianGO, title={Riemannian geometry on Hom-rho-commutative algebras}, author={Zahra Bagheri and Esmaeil Peyghan}, journal={arXiv: Differential Geometry}, year={2018} }

Recently, some concepts such as Hom-algebras, Hom-Lie algebras, Hom-Lie admissible algebras, Hom-coalgebras are studied and some of classical properties of algebras and some geometric objects are extended on them. In this paper by recall the concept of Hom-$\rho$-commutative algebras, we intend to develop some of the most classical results in Riemannian geometry such as metric, connection, torsion tensor, curvature tensor on it and also we discuss about differential operators and get some… Expand

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