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This paper describes ruled surfaces with constant curvature in a Walker 3-manifold, highlighting timelike and spacelike characteristics.
In this paper, we give explicit descriptions for a family of ruled surfaces in a strict Walker 3-manifold with constant Gaussian or mean curvature according to the causal character of the surfaces (timelike, spacelike, and lightlike). For each causal character of the considered family of ruled surface, we start with the constant Gaussian curvature case and we end with the constant mean curvature situation.
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Cisse et al. (2025) studied this question.
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