4.1 Article

ON LOCALLY CONFORMALLY FLAT WEAKLY-EINSTEIN FOUR-MANIFOLDS

Publisher

UNIV POLITEHNICA BUCHAREST, SCI BULL

Keywords

Weakly-Einstein space; conformally flat; algebraic pseudo-Riemannian cur-vature model; Walker metric

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In this paper, weakly-Einstein conditions are studied on four-dimensional conformally flat pseudo-Riemannian algebraic curvature models. Specifically, the locally conformally flat examples of Walker metrics satisfying weakly-Einstein conditions are presented.
Weakly-Einstein conditions over four-dimensional conformally flat pseudo-Riemannian algebraic curvature models are considered. In particular, we present the four-dimensional locally conformally flat examples of Walker metrics satisfying weakly-Einstein conditions.

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