Slant geometry of spacelike hypersurfaces in the lightcone

Slant geometry on spacelike submanifolds of codimension two in Lorentz–Minkowski space

“…Thus, the results which were given in [2], [12] and [13] are special cases of our results. On the other hand, we generalize some of the results which were obtained in [10].…”

“…Consequently, we can mention about our previous results in [2,12,13] as special cases of this paper in the following subsections.…”

“…In this case, X + (u) can be defined as a lightlike normal vector which is called lightcone normal vector of the spacelike hypersurface M L − = X − (U ) at the point p = X − (u). It was shown in [12,13] …”

“…As a result,taking into account these duality theorems, we have recently investigated slant geometry of spacelike hypersurfaces in the pseudo-spheres in Lorentz-Minkowski space in [2,12,13].…”

“…We call them slant geometry of spacelike hypersurfaces in Hyperbolic space and de Sitter space. Moreover, slant geometry of spacelike hypersurfaces in the lightcone was considered in [13].…”