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Yayın Surfaces with constant Gaussian and mean curvatures N the anti-de Sitter space H31(Honam Mathematical Soc, 2024-06) Dursun, UğurIn this work, we study time-like and space-like surfaces invariant by a group of translation isometries of the half-space model H31 of the anti-de Sitter space H31. We determine all such surfaces with constant mean curvature and constant Gaussian curvature. We also obtain umbilical surfaces of H31.
