IJPAM: Volume 48, No. 1 (2008)

ON PSEUDOSYMMETRIC LORENTZIAN
$\alpha$-SASAKIAN MANIFOLDS

D.G. Prakasha$^1$, C.S. Bagewadi$^2$, N.S. Basavarajappa$^3$
$^{1,2}$Department of Mathematics
Kuvempu University
Jnana Sahyadri, Shankaraghatta, 577451, Shimoga, Karnataka, INDIA
$^1$e-mail: prof_bagewadi@yahoo.co.in
$^2$e-mail: prakashadg@gmail.com
$^3$Department of Mathematics
SBM Jain College of Engineering
Jakkasandra, Bangalore, INDIA
e-mail: nsb_sbmjce@yahoo.co.in


Abstract.In this study, we investigate Weyl-pseudosymmetric and partially Ricci-pseudosymmetric Lorentzian $\alpha$-Sasakian manifolds and Lorentzian $\alpha$-Sasakian manifolds satisfying $C\cdot S =0$.

Received: March 27, 2008

AMS Subject Classification: 53B20, 53C15, 53C25

Key Words and Phrases: Lorentzian $\alpha$-Sasakian manifold, Weyl-pseudosymmetric manifold, partially Ricci-pseudosymmetric manifold

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2008
Volume: 48
Issue: 1