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 On $\left(\epsilon \right)$-Lorentzian para-Sasakian manifolds Commun. Korean Math. Soc. 2012 Vol. 27, No. 2, 297-306 https://doi.org/10.4134/CKMS.2012.27.2.297Published online June 1, 2012 Rajendra Prasad and Vibha Srivastava University of Lucknow, University of Lucknow Abstract : In this paper we study $\left( \epsilon \right)$-Lorentzian para-Sasakian manifolds and show its existence by an example. Some basic results regarding such manifolds have been deduced. Finally, we study conformally flat and Weyl-semisymmetric $\left( \epsilon \right)$-Lorentzian para-Sasakian manifolds. Keywords : $\left( \epsilon \right)$-Lorentzian para-Sasakian manifold, $\phi$-recurrent, $\eta$-Einstein manifold, conformally flat, quasi-constant curvature, Weyl-semisymmetric MSC numbers : 53C40, 53C50, 53C55 Downloads: Full-text PDF