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Axioms 2018, 7(3), 68; https://doi.org/10.3390/axioms7030068

Characterizations of the Total Space (Indefinite Trans-Sasakian Manifolds) Admitting a Semi-Symmetric Metric Connection

1,†
and
2,†,*
1
Department of Mathematics, Dongguk University, Gyeongju 38066, Korea
2
Department of Mathematics Education and RINS, Gyeongsang National University, Jinju 52828, Korea
These authors contributed equally to this work.
*
Author to whom correspondence should be addressed.
Received: 19 August 2018 / Revised: 4 September 2018 / Accepted: 7 September 2018 / Published: 10 September 2018
(This article belongs to the Special Issue Applications of Differential Geometry)
Full-Text   |   PDF [232 KB, uploaded 10 September 2018]

Abstract

We investigate recurrent, Lie-recurrent, and Hopf lightlike hypersurfaces of an indefinite trans-Sasakian manifold with a semi-symmetric metric connection. In these hypersurfaces, we obtain several new results. Moreover, we characterize that the total space (an indefinite generalized Sasakian space form) with a semi-symmetric metric connection is an indefinite Kenmotsu space form under various lightlike hypersurfaces. View Full-Text
Keywords: lightlike hypersurfaces; indefinite trans-Sasakian; Lie-recurrent; Hopf; semi-symmetric metric connection lightlike hypersurfaces; indefinite trans-Sasakian; Lie-recurrent; Hopf; semi-symmetric metric connection
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
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Jin, D.H.; Lee, J.W. Characterizations of the Total Space (Indefinite Trans-Sasakian Manifolds) Admitting a Semi-Symmetric Metric Connection. Axioms 2018, 7, 68.

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