A note on some generalized curvature tensor

2023/02/18 by Ryszard Deszcz, Deszcz, Ryszard, Małgorzata Głogowska +7
Mathematics · Physics and Astronomy · #53B20 #53B25 #53C25 #Advanced Differential Geometry Research #Black Holes and Theoretical Physics #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows

paper · pdf · doi:10.48550/arxiv.2302.09387

openalex publication_date 2023/02/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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