Lightlike developables in Minkowski 3space
Preprint Series # 781 CHINO, Sachiko and IZUMIYA, Shyuichi Lightlike developables in Minkowski 3space. (2006); AbstractWe say that a surface in Minkowski $3$space is
a {\it lightlike developable} if any pseudonormal vector of the regular part of the surface is
lightlike. We show that such a surface is a part of a lightlike plane,
the lightcone, the tangent surface of a spacelike curve in a lightlike plane, the tangent surface of a lightlike curve or the glue of such surfaces.
The most interesting surfaces in such the class of surfaces is the
tangent surface of a lightlike curve.
We give a classification of the singularities for the tangent surface
of a generic lightlike curve.
As a consequence, the $H_3$ type singularity appears in generic.
Item Type:  Preprint 

Additional Information:  50 

Uncontrolled Keywords:  Lightlike developables, Minkowski $3$space, singularities 

Subjects:  53xx DIFFERENTIAL GEOMETRY 

ID Code:  1524 

