Stability of the Reeb vector field of \(H\)-contact manifolds

DOI10.1007/S00209-008-0413-7zbMath1173.53015OpenAlexW2020302147MaRDI QIDQ834789

Domenico Perrone

Publication date: 27 August 2009

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00209-008-0413-7

zbMATH Keywords

stabilityReeb vector field\(K\)-contactWebster scalar curvatureenergy and volume

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Global Riemannian geometry, including pinching (53C20) Contact manifolds (general theory) (53D10)

Related Items (8)

MINIMALITY, HARMONICITY AND CR GEOMETRY FOR REEB VECTOR FIELDS ⋮ Taut contact circles and bi-contact metric structures on three-manifolds ⋮ Minimal unit vector fields with respect to Riemannian natural metrics ⋮ \(H\)-contact semi-Riemannian manifolds ⋮ Magnetic unit vector fields ⋮ Unit vector fields of minimum energy on quotients of spheres and stability of the Reeb vector field ⋮ Stability of unit Hopf vector fields on quotients of spheres ⋮ Unnamed Item

Cites Work

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• On the volume of a unit vector field on the three-sphere
• Homogeneous contact Riemannian three-manifolds
• Geodesic symmetries in Sasakian locally \(\Phi\)-symmetric spaces
• Curvatures of left invariant metrics on Lie groups
• Relationship between volume and energy of vector fields.
• Total bending of flows with mean curvature correction
• Examples of minimal unit vector fields
• Minimal unit vector fields
• Contact metric manifolds whose characteristic vector field is a harmonic vector field
• Contact metric manifolds satisfying a nullity condition
• Total bending of vector fields on Riemannian manifolds
• Total bending of vector fields on the sphere \(S^ 3\)
• The energy of Hopf vector fields
• A critical radius for unit Hopf vector fields on spheres
• The topology of contact Riemannian manifolds
• Einstein manifolds and contact geometry
• Variational Problems on Contact Riemannian Manifolds
• ON SASAKIAN–EINSTEIN GEOMETRY
• Harmonic characteristic vector fields on contact metric three-manifolds
• On the Existence of a New Class of Contact Metric Manifolds
• On the energy of a unit vector field
• Riemannian geometry of contact and symplectic manifolds
• On the energy of a unit vector field
• Second variation of volume and energy of vector fields. Stability of Hopf vector fields

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