Compact spacelike surfaces with constant mean curvature in the Lorentz-Minkowski 3-space
The authors prove some integral formulas for compact spacelike surfaces with constant mean curvature in the Lorentz-Minkowski three-space \(L^3\). They give some uniqueness results. For instance, ``The only immersed compact spacelike surfaces with constant mean curvature in \(L^3\) spanning a circle are the planar discs and the hyperbolic caps'', and also: ``Let \(\Sigma_1\) and \(\Sigma_2\) be two compact spacelike constant mean curvature surfaces bounded by a curve which projects onto a planar Jordan curve contained inspacelike plane. If they have the same mean curvature, then \(\Sigma_1= \Sigma_2\)''.
scientific article; zbMATH DE number 1275221