On δ- Lorentzian trans Sasakian manifold with semi-symmetric metric connection

Mohd Danish Siddiqi

doi:10.5269/bspm.41108

Mohd Danish Siddiqi Jazan University

Resumo

The aim of the present research is to study the δ-Lorentzian trans Sasakian manifolds with a semi-symmetric metric connection. We have found the expressions for curvature tensors, Ricci curvature tensors and scalar curvature of the δ-Lorentzian trans Sasakian manifolds with a semi-symmetric metric and metric connection. Also, we have discussed some results on quasi-projectively flat and ϕ-projectively flat manifolds endowed with a semi-symmetric-metric connection. It shown that the manifold satisfying
¯
R. ¯ S = 0,
¯
P, ¯ S = 0.
Lastly, we have obtained the conditions for the δ-Lorentzian Trans Sasakian manifolds with a semi-symmetric metric connection to be conformally flat and ξ-conformally flat.

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Biografia do Autor

Mohd Danish Siddiqi, Jazan University

Deparment of Mathematics

Assistant Professor

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