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arXiv · 2302.09387

A note on some generalized curvature tensor

Ryszard Deszcz·Małgorzata Głogowska·Marian Hotloś·Miroslava Petrović-Torgašev·Georges Zafindratafa
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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.

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Ryszard Deszcz, Małgorzata Głogowska, Marian Hotloś, Miroslava Petrović-Torgašev, Georges Zafindratafa. 2023-02-18. A note on some generalized curvature tensor. https://arxiv.org/abs/2302.09387

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