- Communications Faculty of Sciences University Ankara Series A1 Mathematics and Statistics
- Vol: 62 Issue: 2
- ON LORENTZIAN TRANS-SASAKIAN MANIFOLDS
ON LORENTZIAN TRANS-SASAKIAN MANIFOLDS
Authors : U. C. De, Krishnendu De
Pages : 37-51
Doi:10.1501/Commua1_0000000697
View : 11 | Download : 4
Publication Date : 2013-08-01
Article Type : Research
Abstract :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-SasakianmanifoldKeywords : Lorentzian Trans-Sasakian manifold, -Einstein manifold, conformally *at manifold, locally-symmetric manifold