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Totally Umbilical Screen Transversal Lightlike Submanifolds of Semi-Riemannian Product Manifolds

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DOI: 10.4236/apm.2012.24037    3,090 Downloads   6,025 Views  

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.

Conflicts of Interest

The authors declare no conflicts of interest.

Cite this paper

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.

References

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