Notes on the Lightlike Hypersurfaces Along Spacelike Submanifolds

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Tug G., Ekmekci F. N.

UKRAINIAN MATHEMATICAL JOURNAL, 2019 (SCI-Expanded)

• 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 (SCI-EXPANDED), Scopus
• Karadeniz Technical University Affiliated: Yes

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.