Harmonic maps between singular spaces. I

DOI10.4310/CAG.2010.v18.n2.a2zbMath1229.53068OpenAlexW1979193608MaRDI QIDQ626502

Chikako Mese, Georgios D. Daskalopoulos

Publication date: 18 February 2011

Published in: Communications in Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4310/cag.2010.v18.n2.a2

zbMATH Keywords

harmonic mapssingular spacesLipschitz metricsRiemannian polyhedral complex

Mathematics Subject Classification ID

Differential geometric aspects of harmonic maps (53C43) Harmonic maps, etc. (58E20)

Related Items (18)

Regularity of \(p\)-harmonic mappings into NPC spaces ⋮ Convergence of harmonic maps between Alexandrov spaces ⋮ Bubble tree convergence for harmonic maps into compact locally CAT(1) spaces ⋮ Harmonic maps between ideal 2-dimensional simplicial complexes ⋮ Harmonic maps between 2-dimensional simplicial complexes: conformal and singular metrics ⋮ 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 branched coverings and uniformization of \(\operatorname{CAT}(k)\) spheres ⋮ Regularity of harmonic discs in spaces with quadratic isoperimetric inequality ⋮ On the singular set of a nonlinear degenerate PDE arising in Teichmüller theory ⋮ Some regularity results for \(p\)-harmonic mappings between Riemannian manifolds ⋮ Quantitative gradient estimates for harmonic maps into singular spaces ⋮ Harmonic maps between Alexandrov spaces ⋮ Local uniformization and free boundary regularity of minimal singular surfaces ⋮ Harmonic mappings between singular metric spaces

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