Dergiler / International Electronic Journal of Geometry / 2023 / Cilt: 16 Sayı: 1

A Note on Some Generalized Curvature Tensor

Sayfa
379–397
DOI
—

Abstract

For any semi-Riemannian manifold (M, g) we define some generalized curvature tensor E as a linear combination of Kulkarni-Nomizu products formed by the metric tensor, the Ricci tensor and its square of given manifold. That tensor is closely related to quasi-Einstein spaces, Roter spaces and some Roter type spaces.