[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/BKMS.2009.46.3.401

CERTAIN CURVATURE CONDITIONS ON AN LP-SASAKIAN MANIFOLD WITH A COEFFICIENT α

De, Uday Chand (DEPARTMENT OF MATHEMATICS UNIVERSITY OF KALYANI)
Arslan, Kadri (DEPARTMENT OF MATHEMATICS ULUDAG UNIVERSITY)

Publication Information

Bulletin of the Korean Mathematical Society / v.46, no.3, 2009 , pp. 401-408 More about this Journal

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;

Citations & Related Records

Times Cited By Web Of Science : 1 (Related Records In Web of Science)
Times Cited By SCOPUS : 1

Reference
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