Abstract
The purpose of this paper is to study homogeneous almost \(\alpha \)-cosymplectic three-manifolds admitting Ricci solitons. First, we prove that a simply connected homogeneous almost \(\alpha \)-cosymplectic three-manifold with a contact Ricci soliton is cosymplectic and it is a Lie group \(\mathbb {R}^3\) or \({\tilde{E}}^2\) with a flat left invariant cosymplectic structure. Then we classify a simply connected homogeneous almost \(\alpha \)-cosymplectic three-manifold with a Ricci soliton whose potential vector field is transversal.
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Li, J., Liu, X. Ricci Solitons on Homogeneous Almost \(\alpha \)-Cosymplectic Three-Manifolds. Mediterr. J. Math. 19, 26 (2022). https://doi.org/10.1007/s00009-021-01947-7
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DOI: https://doi.org/10.1007/s00009-021-01947-7