Radical Anti-Invariant Lightlike Submanifolds of Semi-Riemannian Product Manifolds

Authors : Erol Kiliç, Bayram Şahin

Pages : 429-449

View : 15 | Download : 8

Publication Date : 9999-12-31

Article Type : Makaleler

Abstract :We introduce radical anti-invariant lightlike submanifolds of a semi Riemannian product manifold and give examples. After we obtain the conditions of integrability of distributions which are involved in the definition of radical anti-invariant lightlike submanifolds, we investigate the geometry of leaves of distributions. We also obtain the induced connection is a metric connection and a radical anti-invariant lightlike submanifold is a product manifold under certain conditions. Finally, we study totally umbilical radical anti-invariant lightlike submanifolds and observe that they are totally geodesic under a condition.
Keywords : Degenerate Metric, Semi-Riemannian Product Manifold, r-Lightlike Submanifold, Locally Riemannian Product