Author(s)

S. M. Khursheed Haider, Advin Maseih, Mamta Thakur

Department of Mathematics, Jamia Millia Islamia, New Delhi, India.

We study totally umbilical screen transversal lightlike submanifolds immersed in a semi-Riemannian product manifold and obtain necessary and sufficient conditions for induced connection ▽ on a totally umbilical radical screen transversal lightlike submanifold to be metric connection. We prove a theorem which classifies totally umbilical ST-anti-invariant lightlike submanifold immersed in a semi-Riemannian product manifold.

Semi-Riemannian Product Manifolds; Lightlike Submanifolds; Totally Umbilical Radical ST-Lightlike Submanifolds; Totally Umbilical ST-Anti-Invariant Lightlike Submanifolds

S. Haider, A. Maseih and M. Thakur, "Totally Umbilical Screen Transversal Lightlike Submanifolds of Semi-Riemannian Product Manifolds," Advances in Pure Mathematics, Vol. 2 No. 4, 2012, pp. 285-290. doi: 10.4236/apm.2012.24037.