Stationary harmonic maps into complete Riemannian manifold

DOI10.1007/BF02875985zbMath0974.53051OpenAlexW2055261651WikidataQ115391368 ScholiaQ115391368MaRDI QIDQ1974196

Xian-Gao Liu

Publication date: 16 December 2001

Published in: Science in China. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02875985

zbMATH Keywords

regularitysingular setstationary harmonic map

Mathematics Subject Classification ID

Differential geometric aspects of harmonic maps (53C43) Harmonic maps, etc. (58E20) Algebraic and analytic properties of mappings on manifolds (58K20)

Cites Work

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• A regularity theory for harmonic maps
• A monotonicity formula for Yang-Mills fields
• Partial regularity for stationary harmonic maps into spheres
• On the singular set of stationary harmonic maps
• Quasiregular mappings in even dimensions
• Partial regularity of energy minimizing harmonic maps into a complete manifold
• Regularity of weakly harmonic maps from a surface into a manifold with symmetries
• Mappings minimizing theLp norm of the gradient

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