Screen generic transversal lightlike submanifolds

Abstract

In this study, we introduce screen generic transversal lightlikesubmanifolds of indefinite Kaehler manifolds. We show that this new class isan umbrella of invariant (complex), screen real, SCR, radical ST and STanti-invariant lightlike submanifolds. We investigate the integrability ofvarious distributions and prove a characterization theorem of such lightlikesubmanifolds in a complex space form. We obtain new conditions for theinduced connection to be a metric connection and we find some necessary andsufficient conditions for minimal screen generic transversal lightlikesubmanifolds. Moreover, we provide some examples of screen generictransversal lightlike submanifold and minimal screen generic transversallightlike submanifold of an indefinite Kaehler manifold.

Keywords

• indefinite Kaehler manifold
• lightlike submanifold
• screen generic transversal lightlike submanifold
• minimal lightlike submanifold

Supporting Institution

TÜBİTAK

Project Number

123F450

Thanks

This paper is supported by the Scientific and Technological Council of Turkey (T\"{U}BITAK) with project number 123F450.

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