Codimension-two spacelike submanifolds with an umbilical lightlike normal are shown to be leaves of a totally umbilical lightlike hypersurface, with explicit conformal relations and volume formulas.
L., Fern ´andez M
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Codimension-Two Spacelike Submanifolds with Umbilical Lightlike Normal Sections and Their Relationship to Lightlike Hypersurfaces
Codimension-two spacelike submanifolds with an umbilical lightlike normal are shown to be leaves of a totally umbilical lightlike hypersurface, with explicit conformal relations and volume formulas.