Bulletin of the
Korean Mathematical Society
BKMS

ISSN(Print) 1015-8634 ISSN(Online) 2234-3016

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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.

Certain curvature conditions on an LP-Sasakian manifold with a coefficient $\alpha$

Uday Chand De and Kadri Arslan

University of Kalyani and Uludag University

Abstract

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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