On Non-Invariant Hypersurfaces of I-Lorentzian Trans-Sasakian Manifolds

Puneet Kumar Gupt; Shyam Kishor

Authors

Puneet Kumar Gupt
Shyam Kishor

1D6FF;2212;Lorentzian trans-Sasakian, totally umbilical, totally geodesic

Abstract

The object of the present paper is to study non-invariant Hypersurfaces of -Lorentzian trans-Sasakian Manifolds equipped with ( )-structure and some properties obeyed by this structure are obtained also. The necessary and sufficient conditions have been otained for totally umbilical non-invariant hypersurfaces with ( ) -structure of -Lorentzian trans-Sasakian Manifold to be totally geodesic.

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How to Cite

On Non-Invariant Hypersurfaces of I-Lorentzian Trans-Sasakian Manifolds. (2015). Global Journal of Science Frontier Research, 15(F6), 37-43. https://www.journalofscience.org/index.php/GJSFR/article/view/102253

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References

Ahmed Yildiz (2005) On Lorentzian Sasakian manifolds. 45, 95-103.

D Blair, G Ludden (1969) Hypersurfaces in Almost Contact Manifold. 22, 354-362.

G Srinivas, C Venkatesh, Bagewadi (2010) On Lorentzian Kenmotsu manifolds. 18(4), 61-69.

K Yano, M Okumura (1970) On ( )-Structures. 22, 401-423.

K Yano, M Okumura (1972) Invariant Submanifolds with ( )-Structures. 24, 75-90.

K Motsumoto (1989) ρ-Einstein solitons in Lorentzian para-Kenmotsu manifolds. 7(2), 151-156.

Mine Turan, A, Eftal Acet, A (2009) On three dimensional Lorentzian Sasakian manifolds. SSN, 90-98.

M Tripathi, Erole Kilic, S Perktas (2010) Inde.nite almost metric manifolds. 846195.

R Prasad On Non-invariant Hypersurfaces of Trans-Sasakian Manifold.

S Goldberg, K Yano (1970) Non-invariant Hypersurfaces of Almost Contact Manifolds. 22, 25-35.

S Kishor, S Yadav (2014) On Non-invariant Hypersurfaces of Nearly Trans-Sasakian, Manifold. 5.

S Pujar, V Khairnar (2011) On Lorentzian trans-Sasakian manifold-I. 23(1), 53-66.

S Pujar (2012) On Lorentzian Sasakian manifolds, to appear in Antactica. 8.

S Shukla, Vipul Singh (2010) Screen Slant Lightlike Submersions from Indefinite Sasakian Manifolds onto Lightlike Manifolds. 43(3), 697-708.

S Tanno (1969) The automorphism groups of almost contact Riemannian manifolds. 21, 21-38.

Toshio Takahashi (1969) Sasakian manifold with pseudo-Riemannian metric. 21(2), 271-290.

Shamsur Rahman (2007) Characterization of Quarter Symmetric Non-Metric Connection on Transversal Hypersurfaces of Lorentzian para-Sasakian Manifolds. 8(01), 65-75.