Acta Mathematica Academiae Paedagogicae Nyíregyháziensis, Vol. 33, No. 2, pp. 331-337 (2017)

Quasi-conformally flat and projectively flat trans-Sasakian manifolds

Vibha Srivastava and P. N. Pandey

University of Allahabad

Abstract: The object of the present paper is to study quasi-conformally flat and projectively flat contact manifolds. We have also studied Quasi-conformally flat and projectively flat trans-Sasakian manifolds. We obtained condition for trans-Sasakian manifold to be quasi-conformally flat and projectively flat. The value of scalar curvature has been obtained in quasi-conformally flat and projectively flat trans-Sasakian manifolds.

Keywords: Quasi-conformal curvature tensor, Projective curvature tensor, scalar curvature tensor, Trans-Sasakian manifolds

Classification (MSC2000): 53C50; 53C15

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