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Certain curvature conditions on an LP-Sasakian manifold with a coefficient α

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Arslan, Kadri

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Uday, Chand De

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Korean Mathematical

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Abstract

The object of the present paper is to study certain curvature restriction on an LP-Sasakian manifold with a coefficient α. Among others it is shown that if an LP-Sasakian manifold with a coefficient α 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 α is a spaceform.

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Lorentzian Para-Sasakian manifold with a coefficient α, Manifold of constant curvature, Mathematics

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Uday, D. C. ve Arslan, K. (2009). "Certain curvature conditions on an LP-Sasakian manifold with a coefficient α". Bulletin of the Korean Mathematical Society, 46(3), 401-408.

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