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On a Normal Contact Metric Manifold

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Abstract

We find the expression of the curvature tensor field for a manifold with is endowed with an almost contact structure satisfying the condition (1.7). By using this condition we obtain some properties of the Ricci tensor and scalar curvature (cf. Theorem3.2 and Proposition 3.2).

참고문헌 (4)

  1. "Contact manifolds in Riemannian Geometry Lecture Notes in Math." (1976)
  2. "On some properties of a quasi-Sasakian manifolds", 16, pp.39~46 (1999)
  3. "On Kaehlerian hypersurfaces in almost contact metric spaces", tensor(s.), pp.37~44 (1969)
  4. "Hypersurfaces with parallel Ricci tensor in a space of constant holomorphicsectional curvature"

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