Geodesic
On a quarter-symmetric non-metric connection in an epsilon-Lorentzian para-sasakian manifold
Abdul Haseeb1 ; Amit Prakash2 ; Mohd. Danish Siddiqi3 ; Abdul Haseeb ; Amit Prakash ; Mohd. Danish Siddiqi
1Department of Mathematics, College of Science, Jazan University, Jazan
2Department of Mathematics, National Institute of Technology, Kurukshetra-136191
3Department of Mathematics, Faculty of Science, Jazan University, Jazan,
Acta mathematica Universitatis Comenianae, Tome 86 (2017) no. 1, pp. 143-152 
Abdul Haseeb; Amit Prakash; Mohd. Danish Siddiqi; Abdul Haseeb; Amit Prakash; Mohd. Danish Siddiqi. On a quarter-symmetric non-metric connection in an  epsilon-Lorentzian para-sasakian manifold. Acta mathematica Universitatis Comenianae, Tome 86 (2017) no. 1, pp. 143-152. http://geodesic.mathdoc.fr/item/AMUC_2017_86_1_a11/
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     author = {Abdul Haseeb and Amit Prakash and Mohd. Danish Siddiqi and Abdul Haseeb and Amit Prakash and Mohd. Danish Siddiqi},
     title = { On a quarter-symmetric non-metric connection in an  {epsilon-Lorentzian} para-sasakian manifold},
     journal = {Acta mathematica Universitatis Comenianae},
     pages = {143--152},
     year = {2017},
     volume = {86},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/AMUC_2017_86_1_a11/}
}
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Voir la notice de l'article provenant de la source Comenius University

In this paper, we consider a quarter-symmetric metric connectionin an \epsilon-Lorentzian para-Sasakian manifold. We investigate the curvature tensor and the Ricci tensor of an \epsilon-Lorentzian para-Sasakian manifold with a quartersymmetric metric connection. Also we have shown that \epsilon-Lorentzian para-Sasakian manifolds with a quarter-symmetric metric connection are η-Einstein manifolds if they are conformally flat, quasi conformally flat and ξ-conformally flat.