Ramsey-Premier Mpoukamoyi

Metric and Levi-Civita Connections on Regular Hom-Lie-Rinehart Algebras

In this paper, we study regular Hom-Lie-Rinehart algebras and extend several classical geometric notions to this framework. In particular, we develop the theory of pseudo-Riemannian metrics, connections, curvature tensors, and torsion tensors in the setting of regular Hom-Lie-Rin...