Stability of the Reeb vector field of \(H\)-contact manifolds
\(H\)-contact manifolds are contact metric manifolds on which the Reeb (characteristic) vector field is harmonic. Particular examples are Sasakian (more generally \(K\)-contact) and (generalized) \((k,\mu)\) manifolds. The results of this paper concern the stability of the Reeb field of a \(H\)-contact manifold of dimension 3, with respect to the energy functional, expressed in terms of the Webster scalar curvature. The proofs are technical, with all details clearly explained.
scientific article; zbMATH DE number 5598909
scientific article