Abstract

The purpose of this thesis is to give a characterization of all spacelike constant mean curvature surfaces which have continuous internal symmetry in Minkowski three space. The properties that these surfaces must satisfy leads to a system of partial differential equations and every solution of this system results in a desired surface. Further examination of this system leads to a differential relation that the metric must satisfy. The behaviour of the solution to this relation is investigated to determine if the resulting surface is complete.