Abstract
We study the principal configurations around an isolated η-umbilical point on a generic spacelike surface S immersed in a null hypersurface M of Minkowski space R14 relative to a well-defined null vector field η orthogonal to the surface S. In the particular case of M being a null rotation hypersurface of R14 we also recover the local Darbouxian principal configurations around that kind of η-umbilical points.
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