Bull. Korean Math. Soc. 2009; 46(3): 401-408
Printed May 1, 2009
https://doi.org/10.4134/BKMS.2009.46.3.401
Copyright © The Korean Mathematical Society.
Uday Chand De and Kadri Arslan
University of Kalyani and Uludag University
The object of the present paper is to study certain curvature restriction on an LP-Sasakian manifold with a coefficient $\alpha$. Among others it is shown that if an LP-Sasakian manifold with a coefficient $\alpha$ is a manifold of constant curvature, then the manifold is the product manifold. Also it is proved that a 3-dimensional Ricci semisymmetric LP-Sasakian manifold with a constant coefficient $\alpha$ is a spaceform.
Keywords: Lorentzian Para-Sasakian manifold with a coefficient $\alpha$, manifold of constant curvature
MSC numbers: 53C15, 53C40
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