Generalized Weyl Conformal Curvature Tensor of a Generalized Riemannian Space

TL;DR

This paper introduces a generalized Weyl conformal curvature tensor for generalized Riemannian spaces, providing universal generalizations without extra assumptions, and offers a method beneficial for further research.

Contribution

It presents a new generalized Weyl conformal curvature tensor and universal generalizations applicable to generalized Riemannian spaces without additional assumptions.

Findings

Defined a generalized Weyl conformal curvature tensor.

Established universal generalizations independent of extra assumptions.

Proposed a research method applicable to related geometric studies.

Abstract

It is generalized Weyl conformal curvature tensor in the case of a conformal mappings of a generalized Riemannian space in this paper. Moreover, it is found universal generalizations of it without any additional assumption. A method used in this paper may help different scientists in their researching.