Surfaces of constant Gauss curvature in Lorentz-Minkowski three-space (Q1430431)

Cyclic surfaces of constant Gauss curvature in Lorentz-Minkowski 3-space are examined. A surface is said to be cyclic if and only if there is a one-parameter family of planes which meet it in pieces of circles. The author shows that if the Gauss curvature of such a surface is a non-zero constant then we have a surface of revolution. He also effectively describes the parametrizations for the surface when the Gauss curvature is zero.