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


KILIÇ E. , SAHIN B.

TURKISH JOURNAL OF MATHEMATICS, cilt.32, ss.429-449, 2008 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 32 Konu: 4
  • Basım Tarihi: 2008
  • Dergi Adı: TURKISH JOURNAL OF MATHEMATICS
  • Sayfa Sayıları: ss.429-449

Özet

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.