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Lightlike developables in minkowski 3-space

Chino S., Izumiya S.

Demonstratio Mathematica

2010

Vol. 43, nr 2

387-399

We say that a surface in Minkowski 3-space is a lightlike developable if 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 H3 type singularity appears in generic for such a class of surfaces. Since the H3 type singularity usually appears in non-generic situation, this is a quite interesting phenomenon.