Totally Contact Umbilical Screen Transversal Lightlike Submanifolds of an Indefinite Sasakian Manifold

Authors

  • S. M. Khursheed Haider
  • M. Thakur
  • Advin Maseih

DOI:

https://doi.org/10.1285/i15900932v32n2p123

Keywords:

Indefinite Sasakian manifolds, lightlike submanifolds, totally contact umbilical radical ST-lightlike submanifolds, totally contact umbilical ST-anti-invariant lightlike submanifolds

Abstract

In this paper, we study totally contact umbilical radical screen transversal and screen transversal anti-invariant lightlike submanifolds of an indefinite Sasakian manifold and obtain a geometric condition under which the induced connection nabla on a totally contact umbilical radical screen transversal lightlike submanifold is a metric connection. We prove a classification theorem for totally contact umbilical screen transversal anti-invariant lightlike submanifolds when the ambient space is an indefinite Sasakian manifold

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Published

01-06-2013

Issue

Volume 32, Issue 2 (2012)

Section

Articoli

License

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http://creativecommons.org/licenses/by-nc-nd/3.0/it/legalcode