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math.DG2023
On semi-Riemannian manifolds satisfying some generalized Einstein metric conditions
Ryszard Deszcz, Małgorzata Głogowska, Marian Hotloś +2
The difference tensor R.C-C.R of a semi-Riemannian manifold (M,g), dim M > 3, formed by its Riemannian-Christoffel curvature tensor R and the Weyl conformal curvature tensor C, und…
math.DG2023
A note on some generalized curvature tensor
Ryszard Deszcz, Małgorzata Głogowska, Marian Hotloś +2
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…