关于某些广义曲率张量的一个注记

IF 0.4 Q4 MATHEMATICS International Electronic Journal of Geometry Pub Date : 2023-02-19 DOI:10.36890/iejg.1273631
R. Deszcz, M. Glogowska, Marian Hotlo's, Miroslava Petrovi'c-Torgavsev, G. Zafindratafa
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引用次数: 6

摘要

对于任意半黎曼流形(M, g),我们将广义曲率张量E定义为由给定流形的度规张量、里奇张量及其平方构成的Kulkarni-Nomizu积的线性组合。这个张量与准爱因斯坦空间,罗特空间和一些罗特型空间密切相关。
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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 Roter type spaces.
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CiteScore
0.80
自引率
14.30%
发文量
32
期刊最新文献
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