Stability of the Reeb vector field of \(H\)-contact manifolds (Q834789)
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scientific article; zbMATH DE number 5598909
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Stability of the Reeb vector field of \(H\)-contact manifolds |
scientific article; zbMATH DE number 5598909 |
Statements
Stability of the Reeb vector field of \(H\)-contact manifolds (English)
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27 August 2009
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\(H\)-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.
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energy and volume
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Reeb vector field
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stability
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Webster scalar curvature
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\(K\)-contact
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