SINGULARITIES OF EVOLUTES OF HYPERSURFACES IN HYPERBOLIC SPACE

Shyuichi Izumiya, Donghe Pei, Masatomo Takahashi
2004 Proceedings of the Edinburgh Mathematical Society  
We study the differential geometry of hypersurfaces in hyperbolic space. As an application of the theory of Lagrangian singularities, we investigate the contact of hypersurfaces with families of hyperspheres or equidistant hyperplanes.
doi:10.1017/s0013091503000312 fatcat:7mueqau7k5dmxa7ywgpfrpsim4