Singularities Of De Sitter Gauss Map Of Timelike Hypersurface In Minkowski 4-space

In this paper, we define the notion of de Sitter Gauss map of timelike hypersurface in Minkowski 4-space and establish the relationships between singularities of that object and geometric invariants of hypersurface under the action of Lorentz group and as an application of standard techniques of Lagrangian singularity theory, we classify the singularities of de Sitter Gauss map of timelike hypersurface in Minkowski 4-space.