Stability of contact metric manifolds and unit vector fields of minimum energy

DOI10.1017/S0004972700039654zbMath1135.53042WikidataQ125307083 ScholiaQ125307083MaRDI QIDQ5438365

Domenico Perrone, Luigi Vergori

Publication date: 23 January 2008

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

harmonic mapKähler manifoldscontact metric manifolds

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Differential geometric aspects of harmonic maps (53C43) Contact manifolds (general theory) (53D10)

Related Items (1)

On the stability of \(T\)-space forms

Cites Work

• Unnamed Item
• Unnamed Item
• On geodesic vector fields in compact orientable Riemannian space
• On \(\eta\)-Einstein Sasakian geometry
• On the volume of a unit vector field on the three-sphere
• Total bending of flows with mean curvature correction
• 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
• Harmonic maps on contact metric manifolds
• Total bending of vector fields on the sphere \(S^ 3\)
• Einstein manifolds and contact geometry
• Stability of Harmonic Maps and Eigenvalues of the Laplacian
• The Second Variation Formula for Harmonic Mappings
• A Contact Structure for Odd Dimensional Spherical Space Forms
• On the energy of a unit vector field
• Riemannian geometry of contact and symplectic manifolds
• On the gap between the first eigenvalues of the Laplacian on functions and 1-forms
• Second variation of volume and energy of vector fields. Stability of Hopf vector fields
• CR-manifolds, harmonic maps and stability.

This page was built for publication: Stability of contact metric manifolds and unit vector fields of minimum energy