A note on some generalized curvature tensor
Differential Geometry
2023-03-30 v3
Abstract
For any semi-Riemannian manifold (M,g) we define some generalized curvature tensor 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.
Cite
@article{arxiv.2302.09387,
title = {A note on some generalized curvature tensor},
author = {Ryszard Deszcz and Małgorzata Głogowska and Marian Hotloś and Miroslava Petrović-Torgašev and Georges Zafindratafa},
journal= {arXiv preprint arXiv:2302.09387},
year = {2023}
}
Comments
arXiv admin note: substantial text overlap with arXiv:2211.06700, arXiv:1911.02482, arXiv:1810.01402