On the Singular Set of Harmonic Maps into DM-Complexes

DOI10.1090/memo/1129zbMath1331.53093arXiv1502.03367OpenAlexW2284582699MaRDI QIDQ3455230

Chikako Mese, Georgios D. Daskalopoulos

Publication date: 4 December 2015

Published in: Inventiones Mathematicae, Memoirs of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1502.03367

zbMATH Keywords

Teichmüller spaceharmonic mapsmonotonicity formulassingular setsNPC spacesholomorphic rigidityHausdorff codimensionRiemannian DM-complexes

Mathematics Subject Classification ID

Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Differential geometric aspects of harmonic maps (53C43) Harmonic maps, etc. (58E20) Fibrations, degenerations in algebraic geometry (14D06) Families, moduli of curves (analytic) (14H15) Harmonic analysis of several complex variables (32A50)

Related Items

Rectifiability of the singular set of harmonic maps into buildings ⋮ On the Singular Set of Harmonic Maps into DM-Complexes ⋮ $C^1$ estimates for the Weil-Petersson metric ⋮ On the holomorphic convexity of reductive Galois coverings over compact Kähler surfaces ⋮ Essential regularity of the model space for the Weil-Petersson metric ⋮ The Weil-Petersson curvature operator on the universal Teichmüller space ⋮ Harmonic branched coverings and uniformization of \(\operatorname{CAT}(k)\) spheres ⋮ On the singular set of a nonlinear degenerate PDE arising in Teichmüller theory ⋮ A Bochner formula for harmonic maps into non-positively curved metric spaces ⋮ Harmonic maps to buildings and singular perturbation theory ⋮ Torelli locus and rigidity

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