ON LORENTZIAN TRANS-SASAKIAN MANIFOLDS

The object of the present paper is to study the Trans-Sasakianstructure on a manifold with Lorentzian metric. Several interesting results areobtained on the manifold. Also conformally *at Lorentzian Trans-Sasakianmanifolds have been studied. Next, in three- dimensional Lorentzian TransSasakian manifolds, explicit formulae for Ricci operator, Ricci tensor andcurvature tensor are obtained.Lorentzian Trans-Sasakian manifold of type ( ; ) is locallyand only if the scalar curvature r is constant providedFinally, we give some examples of three-dimensional Lorentzian Trans-Sasakianmanifold

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  • Current address : Uday Chand De,, Department of Pure Mathematics,, Calcutta University ,, Kol , Krishnendu De, Konnagar High School(H.S.),, 68 G.T. Road (West),Konnagar,Hooghly, Pin.712235, West Bengal, INDIA. Road, ,West Bengal, INDIA.
  • E-mail address : uc_de@yahoo.com, krishnendu_de@yahoo.com URL: http://communications.science.ankara.edu.tr/index.php?series=A1