Lightlike developables in Minkowski 3-space

Autor: Chino, Sachiko, Izumiya, Shyuichi
Zdroj: Demonstratio Mathematica; April 2010, Vol. 43 Issue: 2 p387-399, 13p
Abstrakt: We say that a surface in Minkowski 3-space is a lightlike developableif all pseudo-normal vectors of the regular part of the surface are lightlike. The tangent surface of a lightlike curve is one of the lightlike developables. We give a generic classification of such surfaces. The all arguments in this paper are elementary. However, we discovered the H3type singularity appears in generic for such a class of surfaces. Since the H3type singularity usually appears in non-generic situation, this is a quite interesting phenomenon.
Databáze: Supplemental Index