Some classes of 3-dimensional Trans-Sasakian manifolds with respect to semi-symmetric metric connection
Résumé
The object of the present paper is to study semi-symmetric metric connection on a 3-dimensional trans-Sasakian manifold. We found the necessary condition under which a vector field on a 3-dimensional trans-Sasakian manifold will be a strict contact vector field. Then, we obtained extended generalized phi-recurrent 3-dimensional trans-Sasakian manifold with respect to semi-symmetric metric connection. Next, a 3-dimensional trans-Sasakian manifold satises the condition ~L.~ S = 0 with respect to semi-symmetric metric connection is studied.
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Références
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Funding data
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University Grants Commission
Grant numbers F.4-2/2006(BSR)/MA/18- 19/0007
