Regularity and uniqueness of harmonic maps into an ellipsoid

DOI10.1007/BF01161933zbMath0646.58020OpenAlexW2072139854MaRDI QIDQ1103929

Frédéric Hélein

Publication date: 1988

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

Full work available at URL: https://eudml.org/doc/155280

zbMATH Keywords

regularity of weakly harmonic maps

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Harmonic maps, etc. (58E20)

Related Items

Regularity of minimizing harmonic maps into ellipsoids ⋮ Removability of singularities of harmonic maps into pseudo-Riemannian manifolds. ⋮ Unnamed Item ⋮ Regularity of minimizing harmonic mappings into ellipsoids and similar other manifolds ⋮ On the existence of smooth self-similar blowup profiles for the wave map equation ⋮ Stability for the \(p\)-energy of the equator map of the ball into an ellipsoid ⋮ On weakly \(p\)-harmonic maps to a closed hemisphere ⋮ Long-time existence for a solution of the equation of evolution of harmonic maps into an ellipsoid

Cites Work

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• A regularity theory for harmonic maps
• Analyticity of solutions of the O(N) nonlinear \(\sigma\)-model
• An existence theorem for harmonic mappings of Riemannian manifolds
• Uniqueness and stability of harmonic maps and their Jacobi fields
• The problem of Plateau on a Riemannian manifold

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