The infimum of the energy of unit vector fields on odd-dimensional spheres

DOI10.1023/A:1022404728764zbMath1031.53090OpenAlexW2291391405MaRDI QIDQ1811005

Olga Gil-Medrano, Vincent Borrelli, Fabiano Gustavo Braga Brito

Publication date: 9 June 2003

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1022404728764

zbMATH Keywords

Sasaki metricenergy of a vector fieldminimizing sequenceradial fields on spheres

Mathematics Subject Classification ID

Differential geometric aspects of harmonic maps (53C43) Variational problems concerning extremal problems in several variables; Yang-Mills functionals (58E15)

Related Items (7)

Harmonic sections of Riemannian vector bundles, and metrics of Cheeger-Gromoll type ⋮ ENERGY OF GLOBAL FRAMES ⋮ Lipschitz minimality of Hopf fibrations and Hopf vector fields ⋮ Harmonic conformal flows on manifolds of constant curvature ⋮ A note on the infimum of energy of unit vector fields on a compact Riemannian manifold ⋮ A critical radius for unit Hopf vector fields on spheres ⋮ A topological lower bound for the energy of a unit vector field on a closed Euclidean hypersurface

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