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In the present paper is to classify Beta-almost ($\beta$-almost) Ricci solitons and $\beta$-almost gradient Ricci solitons on almost CoK\"ahler 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\"ahler manifolds admitting $\beta$-almost gradient Ricci solitons is isometric to a sphere.
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참고문헌 (25)
참고문헌 신청
Barros, A. / 2012 / Some characterizations for compact almost Ricci solitons / Proc. Amer. Math. Soc 140(3):1033~1040
Blair, D. E. / 1976 / Lecture Notes on Mathematics / Springer :509
Blair, D. E. / 2010 / Riemannian Geometry on contact and sympletic manifolds / Progr. Math. :203
Blair, D. E. / 1995 / Contact metric manifolds satisfying a nullity condition / Israel J. of Math 91:189~214
Calin, C. / 2010 / From the Eisenhart problem to Ricci solitons in f-Kenmotsu manifolds / Bull. Malays. Math. Soc 33(3):361~368
Blair, D. E. / 1976 / Lecture Notes on Mathematics / Springer :509
Blair, D. E. / 2010 / Riemannian Geometry on contact and sympletic manifolds / Progr. Math. :203
Blair, D. E. / 1995 / Contact metric manifolds satisfying a nullity condition / Israel J. of Math 91:189~214
Calin, C. / 2010 / From the Eisenhart problem to Ricci solitons in f-Kenmotsu manifolds / Bull. Malays. Math. Soc 33(3):361~368
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