Lightlike hypersurfaces and lightlike focal sets with respect to Bishop frame in 4-dimensional Minkowski Space E1-4.

Authors : Zehra OZDEMİR

Pages : 307-319

Doi:10.31801/cfsuasmas.456764

View : 10 | Download : 6

Publication Date : 2020-06-30

Article Type : Research Paper

Abstract :In this article, light-like hypersurfaces that is derived by null  Cartan curves will be examined and discussed. The singularities of lightlike  hypersurfaces and light-like focal sets are investigated by using the  Bishop frame on the Null Cartan curves. We obtain that the types of  these singularities and the order of contact between the null Cartan  curves are closely related to the Bishop curvatures of the null Cartan  curves. Moreover, two examples of light-like hypersurfaces and light-like  focal sets are given to illustrate our theoretical results.
Keywords : Bishop frame, Null Cartan curve, Lightlike hypersurface, , Singularity