Stability of the Reeb vector field of H-contact manifolds
Copyright policy )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.
- University of Salento Italy
Energy and volume • Reeb vector fields • Stability • Webster scalar curvature •, Special Riemannian manifolds (Einstein, Sasakian, etc.), Reeb vector field, Contact manifolds (general theory), Webster scalar curvature, stability, \(K\)-contact, energy and volume, Global Riemannian geometry, including pinching
Energy and volume • Reeb vector fields • Stability • Webster scalar curvature •, Special Riemannian manifolds (Einstein, Sasakian, etc.), Reeb vector field, Contact manifolds (general theory), Webster scalar curvature, stability, \(K\)-contact, energy and volume, Global Riemannian geometry, including pinching
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