International Journal of
Physical Sciences

  • Abbreviation: Int. J. Phys. Sci.
  • Language: English
  • ISSN: 1992-1950
  • DOI: 10.5897/IJPS
  • Start Year: 2006
  • Published Articles: 2569

Review

A class of totally umbilical slant submanifolds of Lorentzian para-Sasakian manifolds

Khushwant Singh1, Siraj Uddin2, Cenap Ozel3* and M. A. Khan4    
1School of Mathematics and Computer Applications, Thapar University, 147004 Patiala, India. 2Institute of Mathematical Sciences, Faculty of Science,University of Malaya, 50603 Kuala Lumpur, Malaysia. 3Department of Mathematics, Abant Izzet Baysal University, 14268 Bolu, Turkey. 4Department of Mathematics, University of Tabuk, 80015 Tabuk, Kingdom of Saudi Arabia.  
Email: [email protected]

  •  Accepted: 20 February 2012
  •  Published: 02 March 2012

Abstract

In the present paper, we study slant submanifolds of a Lorentzian para (LP)-Sasakian manifold. We consider  as a totally umbilical proper slant submanifold of an LP-Sasakian manifold and show that every totally umbilical proper slant submanifold of an LP-Sasakian manifold   is either totally geodesic or if it is not totally geodesic in , then we derive a formula of its slant angle and give an example.

 

Key words: Slant submanifold, totally umbilical, totally geodesic, minimal submanifold, Lorentzian para (LP)-Sasakian manifold.

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