Screen generic lightlike submanifolds of semi-Riemannian product manifolds

Abstract

In this paper, we introduce screen generic lightlike submanifolds of semi-Riemannian product manifolds. We investigate the integrability of various distributions and geometry of such submanifolds. Finally, we find a condition for minimal screen generic lightlike submanifolds. We also give examples.

Keywords

• semi-Riemannian product manifold
• lightlike submanifold
• generic lightlike submanifold
• minimal lightlike submanifold

References

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