Contact 3-manifolds and Ricci solitons

preprint2012arXivOpen access

A contact 3-manifold $M$ admitting a transversal Ricci soliton $(g,v,λ)$ is either Sasakian or locally isometric to one of the Lie groups SU(2), $SL(2,R)$ , E(2), E(1,1) with a left invariant metric.

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Contact 3-manifolds and Ricci solitons

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