Rectifiability of the singular set of harmonic maps into buildings

DOI10.1007/S12220-022-00943-XzbMath1489.58005arXiv2106.06670OpenAlexW4280585121MaRDI QIDQ2141387

Ben K. Dees

Publication date: 25 May 2022

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2106.06670

zbMATH Keywords

harmonic mapsrectifiabilityregularity of solutionssingular spaces

Mathematics Subject Classification ID

Harmonic maps, etc. (58E20)

Cites Work

• Regularity of area minimizing currents. III: Blow-up
• Rectifiable-Reifenberg and the regularity of stationary and minimizing harmonic maps
• Superrigidity of hyperbolic buildings
• Characterization of \(n\)-rectifiability in terms of Jones' square function. II
• Essential regularity of the model space for the Weil-Petersson metric
• Rectifiability and upper Minkowski bounds for singularities of harmonic \(Q\)-valued maps
• Harmonic maps into singular spaces and \(p\)-adic superrigidity for lattices in groups of rank one
• Sobolev spaces and harmonic maps for metric space targets
• Geometric measure theory.
• Lower bounds on Ricci curvature and quantitative behavior of singular sets
• Effective Reifenberg theorems in Hilbert and Banach spaces
• On the Singular Set of Harmonic Maps into DM-Complexes
• On the Singular Set of Free Interface in an Optimal Partition Problem

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