Rectifiability of the Singular Set of Harmonic Maps into Buildings

preprint2022arXivOpen access

We prove that the singular set of an energy-minimizing map from Euclidean space into an $F$ -connected complex is $(m-2)$ -rectifiable. This strengthens the regularity result of Gromov and Schoen.

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Rectifiability of the Singular Set of Harmonic Maps into Buildings

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