Honam Mathematical Journal (호남수학학술지)

The Honam Mathematical Society (호남수학회)
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A STUDY ON (k, 𝜇)'-ALMOST KENMOTSU MANIFOLDS

  • Li, Jin (School of Mathematical Sciences, Dalian University of Technology) ;
  • Liu, Ximin (School of Mathematical Sciences, Dalian University of Technology) ;
  • Ning, Wenfeng (School of Mathematical Sciences, Dalian University of Technology)
  • Received : 2018.02.04
  • Accepted : 2018.03.20
  • Published : 2018.06.25
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Abstract

Let ${\mathcal{C}}$, ${\mathcal{M}}$, ${\mathcal{L}}$ be concircular curvature tensor, M-projective curvature tensor and conharmonic curvature tensor, respectively. We obtain that if a non-Kenmotsu ($k,{\mu}$)'-almost Kenmotsu manifold satisfies ${\mathcal{C}}{\cdot}{\mathcal{S}}=0$, ${\mathcal{R}}{\cdot}{\mathcal{M}}=0$ or ${\mathcal{R}}{\cdot}{\mathcal{L}}=0$, then it is locally isometric to the Riemannian product ${\mathds{H}}^{n+1}(-4){\times}{\mathds{R}}^n$.

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References

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