The energy of Hopf vector fields

DOI10.1007/s002290050005zbMath0946.53032OpenAlexW2072935629MaRDI QIDQ1964704

Chris M. Wood

Publication date: 17 October 2000

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s002290050005

zbMATH Keywords

energy functionalHopf vector fieldunit tangent bundleharmonic section

Mathematics Subject Classification ID

Differential geometric aspects of harmonic maps (53C43) Harmonic maps, etc. (58E20)

Related Items (20)

Stability of the Reeb vector field of \(H\)-contact manifolds ⋮ On the Dirichlet problem for the harmonic vector fields equation ⋮ Stability of twistor lifts for surfaces in four-dimensional manifolds as harmonic sections ⋮ Harmonic sections of Riemannian vector bundles, and metrics of Cheeger-Gromoll type ⋮ Instability of Hopf vector fields on Lorentzian Berger spheres ⋮ Harmonic flow of geometric structures ⋮ ENERGY OF GLOBAL FRAMES ⋮ Lipschitz minimality of Hopf fibrations and Hopf vector fields ⋮ Stability numbers in K-contact manifolds ⋮ On surfaces whose twistor lifts are harmonic sections ⋮ Bending and stretching unit vector fields in Euclidean and hyperbolic 3-space ⋮ A note on the infimum of energy of unit vector fields on a compact Riemannian manifold ⋮ The energy of unit vector fields on the 3-sphere ⋮ Harmonicity and minimality of oriented distributions ⋮ Harmonic sections normal to submanifolds and their stability ⋮ Surfaces in self-dual Einstein manifolds and their twistor lifts ⋮ HARMONIC CONTACT METRIC STRUCTURES AND SUBMERSIONS ⋮ Surfaces in four-dimensional hyperkähler manifolds whose twistor lifts are harmonic sections ⋮ Higher-power harmonic maps and sections ⋮ Energy and volume of unit vector fields on three-dimensional Riemannian manifolds.

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