Singularities of Null Hypersurfaces of Pseudonull Curves

Abstract EN

The main goal of this paper is to study the singularities of null hypersurfaces of pseudonull curves.

To do this weconstruct a null frame and a Lorentz distance-squared function of the pseudonull curve.

The relations are shownbetween singularities of the null hypersurfaces and those, of the Lorentz distance-squared function.

And we reveal thegeometric meanings of the singularities of such hypersurfaces.

In addition, we also introduce some properties of thenullcone Gaussian surface of the pseudonull curve.