Geodesic
Ricci Solitons on Almost Co-Kähler Manifolds
Canadian mathematical bulletin, Tome 62 (2019) no. 4, pp. 912-922

Voir la notice de l'article provenant de la source Cambridge University Press

In this paper, we prove that if an almost co-Kähler manifold of dimension greater than three satisfying $\unicode[STIX]{x1D702}$-Einstein condition with constant coefficients is a Ricci soliton with potential vector field being of constant length, then either the manifold is Einstein or the Reeb vector field is parallel. Let $M$ be a non-co-Kähler almost co-Kähler 3-manifold such that the Reeb vector field $\unicode[STIX]{x1D709}$ is an eigenvector field of the Ricci operator. If $M$ is a Ricci soliton with transversal potential vector field, then it is locally isometric to Lie group $E(1,1)$ of rigid motions of the Minkowski 2-space.
DOI : 10.4153/S0008439518000632
Mots-clés : almost co-Kähler manifold, Ricci soliton, η-Einstein, Lie group 
Wang, Yaning. Ricci Solitons on Almost Co-Kähler Manifolds. Canadian mathematical bulletin, Tome 62 (2019) no. 4, pp. 912-922. doi: 10.4153/S0008439518000632
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