Harmonic maps from a simplicial complex and geometric rigidity

DOI10.4310/jdg/1203000268zbMath1142.58014OpenAlexW2163565379WikidataQ115195575 ScholiaQ115195575MaRDI QIDQ2481034

Chikako Mese, Georgios D. Daskalopoulos

Publication date: 8 April 2008

Published in: Journal of Differential Geometry (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.jdg/1203000268

zbMATH Keywords

rigidityBochner formulaharmonic mapsvanishing theorems

Mathematics Subject Classification ID

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

Related Items (12)

Fixed point and rigidity theorems for harmonic maps into NPC spaces ⋮ Affine maps between CAT(0) 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 ⋮ Riemannian polyhedra and Liouville-type theorems for harmonic maps ⋮ Higgs bundles over cell complexes and representations of finitely presented groups ⋮ On the singular set of a nonlinear degenerate PDE arising in Teichmüller theory ⋮ Quantitative gradient estimates for harmonic maps into singular spaces ⋮ Local uniformization and free boundary regularity of minimal singular surfaces ⋮ Harmonic mappings between singular metric spaces

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