Kenmotsu-Bryant type representation formula for constant mean curvature spacelike surfaces in H31(c2)

AbstractOur primary object of this paper is to give a representation formula for constant mean curvature spacelike surfaces (including maximal surfaces) in the anti-de Sitter 3-space H31(c2) of constant negative curvature c2, similar to the Kenmotsu type representation formula for nonzero constant mean curvature spacelike surfaces in the Minkowski 3-space L3. This formula implies that every simply connected spacelike surface M with constant mean curvature in H31(c2) can be represented by a harmonic map from M to the hyperbolic 2-plane H2