대한수학회논문집 (Communications of the Korean Mathematical Society)

  • 제34권4호
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  • Pages.1289-1301
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  • 2019
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  • 1225-1763(pISSN)
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  • 2234-3024(eISSN)
대한수학회 (Korean Mathematical Society)
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SOME RESULTS ON ALMOST KENMOTSU MANIFOLDS WITH GENERALIZED (k, µ)'-NULLITY DISTRIBUTION

  • De, Uday Chand (Department of Pure Mathematics University of Calcutta) ;
  • Ghosh, Gopal (Department of Pure Mathematics University of Calcutta)
  • 투고 : 2018.09.18
  • 심사 : 2018.10.24
  • 발행 : 2019.10.31
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초록

In the present paper, we prove that if there exists a second order parallel tensor on an almost Kenmotsu manifold with generalized $(k,{\mu})^{\prime}$-nullity distribution and $h^{\prime}{\neq}0$, then either the manifold is isometric to $H^{n+1}(-4){\times}{\mathbb{R}}^n$, or, the second order parallel tensor is a constant multiple of the associated metric tensor of $M^{2n+1}$ under certain restriction on k, ${\mu}$. Besides this, we study Ricci soliton on an almost Kenmotsu manifold with generalized $(k,{\mu})^{\prime}$-nullity distribution. Finally, we characterize such a manifold admitting generalized Ricci soliton.

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참고문헌

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