English

Rectifiability of the Singular Set of Harmonic Maps into Buildings

Differential Geometry 2022-04-26 v3

Abstract

We prove that the singular set of an energy-minimizing map from Euclidean space into an FF-connected complex is (m2)(m-2)-rectifiable. This strengthens the regularity result of Gromov and Schoen.

Keywords

Cite

@article{arxiv.2106.06670,
  title  = {Rectifiability of the Singular Set of Harmonic Maps into Buildings},
  author = {Ben Dees},
  journal= {arXiv preprint arXiv:2106.06670},
  year   = {2022}
}

Comments

49 pages, 4 figures