On the ranks of harmonic maps

DOI10.1080/03605309808821408zbMath0944.58012OpenAlexW2021840449MaRDI QIDQ4228065

Sumio Yamada

Publication date: 18 September 2000

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605309808821408

zbMATH Keywords

Hausdorff dimensionharmonic mapsrectifiable set

Mathematics Subject Classification ID

Harmonic maps, etc. (58E20)

Related Items (1)

Integral estimates for energy densities of non-constant harmonic maps

Cites Work

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• Nodal sets for solutions of elliptic equations
• On the rank of harmonic maps
• Elementary structure of real algebraic varieties
• Partial regularity of the zero-set of solutions of linear and superlinear elliptic equations
• Nodal sets of eigenfunctions on Riemannian manifolds
• Weil-Petersson convexity of the energy functional on classical and universal Teichmüller spaces.
• Harmonic maps into singular spaces and \(p\)-adic superrigidity for lattices in groups of rank one
• Nodal sets of solutions of elliptic and parabolic equations
• Unique continuation in geometry
• Singularities of Harmonic Maps and Applications of the Gauss-Bonnet Formula
• Some properties and applications of harmonic mappings

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