TITLE:
Totally Umbilical Screen Transversal Lightlike Submanifolds of Semi-Riemannian Product Manifolds
AUTHORS:
S. M. Khursheed Haider, Advin Maseih, Mamta Thakur
KEYWORDS:
Semi-Riemannian Product Manifolds; Lightlike Submanifolds; Totally Umbilical Radical ST-Lightlike Submanifolds; Totally Umbilical ST-Anti-Invariant Lightlike Submanifolds
JOURNAL NAME:
Advances in Pure Mathematics,
Vol.2 No.4,
July
30,
2012
ABSTRACT: 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.