Geodesic
Some Classes of Lorentzian $\alpha $-Sasakian Manifolds Admitting a Quarter-symmetric Metric Connection
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, Tome 55 (2016) no. 2, pp. 41-55

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The object of the present paper is to study a quarter-symmetric metric connection in an Lorentzian $\alpha $-Sasakian manifold. We study some curvature properties of an Lorentzian $\alpha $-Sasakian manifold with respect to the quarter-symmetric metric connection. We study locally $\phi $-symmetric, $\phi $-symmetric, locally projective $\phi $-symmetric, $\xi $-projectively flat Lorentzian $\alpha $-Sasakian manifold with respect to the quarter-symmetric metric connection.
Classification : 53C15, 53C25
Keywords: Quarter-symmetric metric connection; Lorentzian $\alpha $-Sasakian manifold; locally $\phi $-symmetric manifold; locally projective $\phi $-symmetric manifold; $\xi $-projectively flat Lorentzian $\alpha $-Sasakian manifold 
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     title = {Some {Classes} of {Lorentzian} $\alpha ${-Sasakian} {Manifolds} {Admitting} {a~Quarter-symmetric} {Metric} {Connection}},
     journal = {Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica},
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DEY, Santu; Pal, Buddhadev; BHATTACHARYYA, Arindam. Some Classes of Lorentzian $\alpha $-Sasakian Manifolds Admitting a Quarter-symmetric Metric Connection. Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, Tome 55 (2016) no. 2, pp. 41-55. http://geodesic.mathdoc.fr/item/AUPO_2016__55_2_a4/