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Commun. Korean Math. Soc. 2012; 27(2): 297-306
Printed June 1, 2012
https://doi.org/10.4134/CKMS.2012.27.2.297
Copyright © The Korean Mathematical Society.
On $\left(\epsilon \right)$-Lorentzian para-Sasakian manifolds
Rajendra Prasad and Vibha Srivastava
University of Lucknow, University of Lucknow
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
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