On energy minimizing mappings between and into singular spaces

DOI10.1215/S0012-7094-95-07903-4zbMath0855.58015OpenAlexW1505091120MaRDI QIDQ1900907

Chen, Jingyi

Publication date: 25 October 1995

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/s0012-7094-95-07903-4

zbMATH Keywords

Hölder continuityharmonic mapsenergy densitysingular spaceenergy minimizing mapRiemannian simplicial complex

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20) Harmonic maps, etc. (58E20)

Related Items (18)

Fixed point and rigidity theorems for harmonic maps into NPC spaces ⋮ Regularity of \(p\)-harmonic mappings into NPC spaces ⋮ Convergence of harmonic maps between Alexandrov spaces ⋮ Singularities of harmonic maps ⋮ Lipschitz continuity of harmonic maps between Alexandrov spaces ⋮ Regularity of harmonic maps from polyhedra to CAT(1) spaces ⋮ Improvements of upper curvature bounds ⋮ Riemannian polyhedra and Liouville-type theorems for harmonic maps ⋮ Regularity of quasi-\(n\)-harmonic mappings into NPC spaces ⋮ Harmonic maps from Riemannian polyhedra to geodesic spaces with curvature bounded from above ⋮ Higgs bundles over cell complexes and representations of finitely presented groups ⋮ A Bochner formula for harmonic maps into non-positively curved metric spaces ⋮ Quantitative gradient estimates for harmonic maps into singular spaces ⋮ Harmonic maps between Alexandrov spaces ⋮ Local uniformization and free boundary regularity of minimal singular surfaces ⋮ Polyhedra as domains of harmonic maps ⋮ Harmonic mappings between singular metric spaces ⋮ The parameterized Steiner problem and the singular Plateau problem via energy

Cites Work

• \(L^ p\) and mean value properties of subharmonic functions on Riemannian manifolds
• A regularity theory for harmonic maps
• Harmonic maps into singular spaces and \(p\)-adic superrigidity for lattices in groups of rank one
• Weakly Differentiable Functions
• A.D. Alexandrov spaces with curvature bounded below
• Sign and geometric meaning of curvature
• On Homotopic Harmonic Maps
• Harmonic Mappings of Riemannian Manifolds
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