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

Author:

Siddiqi Mohd Danish1

Affiliation:

1. Jazan University

Abstract

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.

Publisher

Sociedade Paranaense de Matematica

Subject

General Mathematics

Reference33 articles.

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2. 2. Bagewadi, C. S., and Kumar, E. G., Note on Trans-Sasakian Manifolds. Tensor. N. S., 65, 80-88 (2004).

3. 3. Bagewadi, C. S., and Venkatesha, Some Curvature Tensors on a Trans-Sasakian Manifold, Turk. J. Math. 31 (2007), 111-121.

4. 4. Bhati, S. M., On weakly Ricci φ-symmetric δ-Lorentzian trans Sasakian manifolds, Bull. Math. Anal. Appl., vol. 5, (1), (2013), 36-43.

5. 5. Bartolotti, E., Sulla geometria della variata a connection affine. Ann. di Mat. 4(8) (1930), 53-101.

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