Korean Journal of Mathematics

The Kangwon-Kyungki Mathematical Society (강원경기수학회)
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BETA-ALMOST RICCI SOLITONS ON ALMOST COKÄHLER MANIFOLDS

  • Kar, Debabrata (Department of Pure Mathematics University of Calcutta) ;
  • Majhi, Pradip (Department of Pure Mathematics University of Calcutta)
  • Received : 2019.04.12
  • Accepted : 2019.07.18
  • Published : 2019.09.30
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Abstract

In the present paper is to classify Beta-almost (${\beta}$-almost) Ricci solitons and ${\beta}$-almost gradient Ricci solitons on almost $CoK{\ddot{a}}hler$ manifolds with ${\xi}$ belongs to ($k,{\mu}$)-nullity distribution. In this paper, we prove that such manifolds with V is contact vector field and $Q{\phi}={\phi}Q$ is ${\eta}$-Einstein and it is steady when the potential vector field is pointwise collinear to the reeb vectoer field. Moreover, we prove that a ($k,{\mu}$)-almost $CoK{\ddot{a}}hler$ manifolds admitting ${\beta}$-almost gradient Ricci solitons is isometric to a sphere.

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References

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