A New Approach to Timelike Hypersurfaces of Constant Ratio in $I{E}_1^4$

Abstract

In this study, we consider timelike revolution hypersurfaces of constant ratio in Minkowski space-time. At first, we exhibit the representations of revolution hypersurfaces given by three different forms. Then, we yield the conditions for such hypersurfaces to correspond to constant ratio surface. As a result of these conditions, we present the position vectors of constant ratio timelike rotational hypersurfaces in I E 1 4 .