• Title, Summary, Keyword: LP-Sasakian manifold with a coefficient $\alpha$

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

  • De, Uday Chand;Arslan, Kadri
    • 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.