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arXiv · 1611.03008

Stratification for the singular set of approximate harmonic maps

Aaron Naber·Daniele Valtorta
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Abstract

The aim of this note is to extend the results in arXiv:1504.02043 to the case of approximate harmonic maps. More precisely, we will proved that the singular strata $S^k(u)$ of an approximate harmonic map are k-rectifiable, and we will show effect bounds on the quantitative strata. In the process we will simplify many of the arguments from arXiv:1504.02043, and in particular we produce a new main covering lemmas which vastly simplifies the older argument.

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Aaron Naber, Daniele Valtorta. 2016-11-09. Stratification for the singular set of approximate harmonic maps. https://doi.org/10.1007/s00209-018-2068-3

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