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Displaying similar documents to “On almost cosymplectic manifolds with the structure vector field ξ belonging to the κ -nullity distribution.”

Ricci solitons on almost Kenmotsu 3-manifolds

Yaning Wang (2017)

Open Mathematics

Similarity:

Let (M3, g) be an almost Kenmotsu 3-manifold such that the Reeb vector field is an eigenvector field of the Ricci operator. In this paper, we prove that if g represents a Ricci soliton whose potential vector field is orthogonal to the Reeb vector field, then M3 is locally isometric to either the hyperbolic space ℍ3(−1) or a non-unimodular Lie group equipped with a left invariant non-Kenmotsu almost Kenmotsu structure. In particular, when g represents a gradient Ricci soliton whose potential...