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Totally Umbilical Screen Transversal Lightlike Submanifolds of Semi-Riemannian Product Manifolds
Department of Mathematics, Jamia Millia Islamia, New Delhi, India
Department of Mathematics, Jamia Millia Islamia, New Delhi, India
Department of Mathematics, Jamia Millia Islamia, New Delhi, India
- 1 Department of Mathematics, Jamia Millia Islamia, New Delhi, India
- 2 Department of Mathematics, Jamia Millia Islamia, New Delhi, India
- 3 Department of Mathematics, Jamia Millia Islamia, New Delhi, India
Advances in Pure Mathematics·Volume 02 (2012)·Pages 285–290·Published 30 July 2012·DOI10.4236/apm.2012.24037
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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.
KeywordsSemi-Riemannian Product ManifoldsLightlike SubmanifoldsTotally Umbilical Radical ST-Lightlike SubmanifoldsTotally Umbilical ST-Anti-Invariant Lightlike Submanifolds
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