대한수학회논문집 (Communications of the Korean Mathematical Society)

  • 제27권2호
  • /
  • Pages.327-339
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  • 2012
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  • 1225-1763(pISSN)
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  • 2234-3024(eISSN)
대한수학회 (Korean Mathematical Society)
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A CLASSIFICATION OF (κ, μ)-CONTACT METRIC MANIFOLDS

  • Yildiz, Ahmet (Art and Science Faculty Department of Mathematics Dumlupinar University) ;
  • De, Uday Chand (Department of Pure Mathematics University of Calcutta)
  • 투고 : 2010.12.16
  • 발행 : 2012.04.30
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초록

In this paper we study $h$-projectively semisymmetric, ${\phi}$-pro-jectively semisymmetric, $h$-Weyl semisymmetric and ${\phi}$-Weyl semisym- metric non-Sasakian ($k$, ${\mu}$)-contact metric manifolds. In all the cases the manifold becomes an ${\eta}$-Einstein manifold. As a consequence of these results we obtain that if a 3-dimensional non-Sasakian ($k$, ${\mu}$)-contact metric manifold satisfies such curvature conditions, then the manifold reduces to an N($k$)-contact metric manifold.

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참고문헌

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피인용 문헌

  1. CERTAIN SEMISYMMETRY PROPERTIES OF (𝜅, 𝜇)-CONTACT METRIC MANIFOLDS vol.53, pp.4, 2016, https://doi.org/10.4134/BKMS.b150638
  2. ϕ-semisymmetric generalized Sasakian space-forms vol.21, pp.2, 2015, https://doi.org/10.1016/j.ajmsc.2015.01.002
  3. ON GENERALIZED QUASI-CONFORMAL N(k, μ)-MANIFOLDS vol.31, pp.1, 2016, https://doi.org/10.4134/CKMS.2016.31.1.163