The energy of unit vector fields on the 3-sphere

DOI10.1016/S0393-0440(00)00034-6zbMath0993.53020arXivmath/0005293OpenAlexW3099592711WikidataQ127883974 ScholiaQ127883974MaRDI QIDQ5927610

No author found.

Publication date: 23 September 2002

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0005293

zbMATH Keywords

energy3-sphereSasaki metricvector field

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20) Differential geometric aspects of harmonic maps (53C43) Harmonic maps, etc. (58E20)

Related Items (17)

Stability of twistor lifts for surfaces in four-dimensional manifolds as harmonic sections ⋮ Biharmonic vector fields on pseudo-Riemannian manifolds ⋮ The energy of a domain on the surface ⋮ Harmonic sections of Riemannian vector bundles, and metrics of Cheeger-Gromoll type ⋮ A novel condition to the harmonic of the velocity vector field of a curve in \(\mathbb R^n\) ⋮ The biharmonicity of sections of the tangent bundle ⋮ Harmonic sections of homogeneous fibre bundles. ⋮ The bienergy of unit vector fields ⋮ Bending and stretching unit vector fields in Euclidean and hyperbolic 3-space ⋮ On the energy and pseudoangle of Frenet vector fields in \(\mathbb{R}_\nu^n\) ⋮ Pseudoharmonic maps and vector fields on \(CR\) manifolds ⋮ Stability of unit Hopf vector fields on quotients of spheres ⋮ Surfaces in self-dual Einstein manifolds and their twistor lifts ⋮ On the energy of frenet vectors fields in Rⁿ ⋮ A new characterization for classical Bernoulli–Euler elastic curves in Rn ⋮ Energy and volume of unit vector fields on three-dimensional Riemannian manifolds. ⋮ Vector fields which are biharmonic maps

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Some results on stable harmonic maps
• Great circle fibrations of the three-sphere
• On the volume of a unit vector field on the three-sphere
• Bernstein theorems for harmonic morphisms from \({\mathbb R}\) 3 and S 3
• Opérateur de courbure et laplacien des formes différentielles d'une variété riemannienne
• Spectra and eigenforms of the Laplacian on \(S^n\) and \(P^n(C)\)
• The Plancherel measure for \(p\)-forms in real hyperbolic spaces
• The energy of Hopf vector fields
• The fundamental equations of a submersion
• Totally geodesic maps
• Harmonic Maps and Minimal Immersions with Symmetries (AM-130)
• Stability of Harmonic Maps and Eigenvalues of the Laplacian
• A Sufficient Condition that a Mapping of Riemannian Manifolds be a Fibre Bundle
• The Second Variation Formula for Harmonic Mappings
• Curvature and Betti Numbers. (AM-32)
• On the energy of a unit vector field

This page was built for publication: The energy of unit vector fields on the 3-sphere