Notes on the Lightlike Hypersurfaces Along Spacelike Submanifolds


Tug G., Ekmekci F. N.

UKRAINIAN MATHEMATICAL JOURNAL, 2019 (Peer-Reviewed Journal) identifier identifier

  • Publication Type: Article / Article
  • Volume:
  • Publication Date: 2019
  • Doi Number: 10.1007/s11253-019-01701-z
  • Journal Name: UKRAINIAN MATHEMATICAL JOURNAL
  • Journal Indexes: Science Citation Index Expanded, Scopus

Abstract

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.