• Bulletin of the Korean Mathematical Society
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• v.46 no.3
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• pp.401-408
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• 2009

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.

• Kyungpook Mathematical Journal
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• v.60 no.4
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• pp.821-830
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• 2020

The object of the present paper is to classify a special type of spacetime, called Lorentzian para-Sasakian type spacetime (4-dimensional LP-Sasakian manifold with a coefficient α) satisfying certain curvature conditions.

• Bulletin of the Korean Mathematical Society
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• v.40 no.4
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• pp.633-639
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• 2003

In this paper, we have proved that there exists a product submanifold of an LP-Sasakian manifold with a coefficient a and the manifold and its product sub manifold possess a CR-structure respectively.