Fixed point and rigidity theorems for harmonic maps into NPC spaces

DOI10.1007/s10711-008-9342-1zbMath1177.58013OpenAlexW1967889956MaRDI QIDQ833331

Chikako Mese, Georgios D. Daskalopoulos

Publication date: 12 August 2009

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10711-008-9342-1

zbMATH Keywords

fixed pointharmonic mapsenergy densityrigidity theoremsnon-positive curvature space

Mathematics Subject Classification ID

Harmonic maps, etc. (58E20) Rigidity results (53C24)

Related Items (7)

Affine maps between CAT(0) spaces ⋮ Infinite energy harmonic maps from Riemann surfaces to CAT(0) spaces ⋮ Lipschitz continuity of harmonic maps between Alexandrov spaces ⋮ Essential regularity of the model space for the Weil-Petersson metric ⋮ Higgs bundles over cell complexes and representations of finitely presented groups ⋮ A Bochner formula for harmonic maps into non-positively curved metric spaces ⋮ Local uniformization and free boundary regularity of minimal singular surfaces

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• Inextensible mappings in a space of curvature no greater than K
• Combinatorial harmonic maps and discrete-group actions on Hadamard spaces
• Metric minimizing surfaces
• Generalized harmonic maps and representations of discrete groups

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