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http://dx.doi.org/10.11568/kjm.2019.27.3.691

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)
Publication Information
Korean Journal of Mathematics / v.27, no.3, 2019 , pp. 691-705 More about this Journal
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.
Keywords
Ricci flow; Ricci soliton; ${\beta}$-almost Ricci soliton; ${\beta}$-almost gradient Ricci soliton; pointwise collinear;
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