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Timelike surfaces with constant mean curvature in Lorentz three-space

Timelike surfaces with constant mean curvature in Lorentz three-space

A cyclic surface in the Lorentz-Minkowski three-space is one that is foliated by circles. We classify all maximal cyclic timelike surfaces in this space, obtaining different families of non-rotational maximal surfaces. When the mean curvature is a non-zero constant, we prove that if the surface is foliated by circles in …