A note on some generalized curvature tensor

2023/02/18 by Deszcz, Ryszard, Głogowska, Małgorzata, Hotloś, Marian +2
#53B20 #53B25 #53C25 #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2302.09387

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.

Related

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• Hypersurfaces in spaces of constant curvature satisfying a particular Roter type equation
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