A Note on Some Generalized Curvature Tensor

A Note on Some Generalized Curvature Tensor

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 Rot...

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Veröffentlicht in:International Electronic Journal of Geometry 2023-04, Vol.16 (1), p.379-397
Hauptverfasser: Deszcz, Ryszard, Głogowska, Małgorzata, Hotloś, Marian, Petrović-torgašev, Miroslava, Zafındratafa, Georges
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Sprache:eng
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Zusammenfassung: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.
ISSN:1307-5624
1307-5624
DOI:10.36890/iejg.1273631