Radical anti-invariant lightlike submanifolds of semi-Riemannian product manifolds
Articles > Article · 2008
Authors: Erol Kiliç, Bayram ŞAHİN
TURKISH JOURNAL OF MATHEMATICS, Journal Indexed in SCI Expanded, International, Scopus, 2008, vol 32, pp 429-449
Summary
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. © TÜBİTAK.