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math.DG2026
Harmonic Maps into Euclidean Buildings and Non-Archimedean Superrigidity
Christine Breiner, Ben K. Dees, Chikako Mese
We prove that harmonic maps into Euclidean buildings, which are not necessarily locally finite, have singular sets of Hausdorff codimension 2, extending the locally finite regulari…
math.DG2025
Harmonic maps in singular geometry and rigidity
Georgios Daskalopoulos, Chikako Mese
This survey reviews results on harmonic maps into spaces of non-positive curvature, with a focus on targets that lack smooth structure. More precisely, we consider targets that are…