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Timelike surfaces of constant mean and constant Gaussian curvature in anti-de Sitter 3-space via loop groups
The loop group description of surfaces whose Gauss map is Lorentz harmonic is known for timelike surfaces of constant mean curvature in the flat Lorentzian 3-space, and for surfaces of constant Gaussian curvature in the 3-sphere. We carry out the corresponding construction for timelike surfaces in a
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