Notes on the Lightlike Hypersurfaces Along Spacelike Submanifolds

Tug G., Ekmekci F. N.

UKRAINIAN MATHEMATICAL JOURNAL, 2019 (SCI-Expanded) identifier identifier


In connection with the method of construction of lightlike hypersurfaces along spacelike submanifolds, we present a relation between the second fundamental form of a spacelike submanifold and the screen second fundamental form of the corresponding lightlike hypersurface. In addition, we study the conditions for a lightlike hypersurface of this kind to be screen conformal.