Geodesic
Projective Curvature Tensorin 3-dimensional Connected Trans-Sasakian Manifolds
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, Tome 55 (2016) no. 2, pp. 29-40.

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The object of the present paper is to study $\xi $-projectively flat and $\phi $-projectively flat 3-dimensional connected trans-Sasakian manifolds. Also we study the geometric properties of connected trans-Sasakian manifolds when it is projectively semi-symmetric. Finally, we give some examples of a 3-dimensional trans-Sasakian manifold which verifies our result.
Classification : 53C15, 53C40
Keywords: Trans-Sasakian manifold; $\xi $-projectively flat; $\phi $-projectively flat; Einstein manifold 
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De, Krishnendu; De, Uday Chand. Projective Curvature Tensorin 3-dimensional Connected Trans-Sasakian Manifolds. Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, Tome 55 (2016) no. 2, pp. 29-40. http://geodesic.mathdoc.fr/item/AUPO_2016__55_2_a3/