Pseudo-spherical evolutes of curves on a spacelike surface in three dimensional Lorentz-Minkowski space

摘要

In this paper we introduce the notion of pseudo-spherical evolutes of curves on a spacelike surface in three dimensional Lorentz-Minkowski spacevwhich is analogous to the notion of evolutes of curves on the hyperbolic plane.ud We investigate the the singularities and geometric properties of pseudo-spherical evolutes of curves on a spacelike surface.