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

Title & Authors
CERTAIN CURVATURE CONDITIONS ON AN LP-SASAKIAN MANIFOLD WITH A COEFFICIENT α
De, Uday Chand; Arslan, Kadri;

Abstract
The object of the present paper is to study certain curvature restriction on an LP-Sasakian manifold with a coefficient $\small{\alpha}$. Among others it is shown that if an LP-Sasakian manifold with a coefficient $\small{\alpha}$ 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 $\small{\alpha}$ is a spaceform.
Keywords
Lorentzian Para-Sasakian manifold with a coefficient $\small{\alpha}$;manifold of constant curvature;
Language
Korean
Cited by
1.
Warped product CR-submanifolds of LP-cosymplectic manifolds, Filomat, 2010, 24, 1, 87
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