PreprintarXiv licencearXiv
Partial Regularity of Stable Stationary Harmonic Maps into Compact Lie Groups
Abstract
Let M be a compact Riemannian manifold, and let G be a compact Lie group with bi-invariant metric. We show that the singular set of any stable stationary harmonic map u : M → G has Hausdorff codimension at least four. This is sharp.
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BibTeX
@misc{krantz2026partial,
title = {{Partial Regularity of Stable Stationary Harmonic Maps into Compact Lie Groups}},
author = {Jacob Krantz},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.35731},
eprint = {2609.35731},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.35731},
}
RIS
TY - UNPB
TI - Partial Regularity of Stable Stationary Harmonic Maps into Compact Lie Groups
AU - Jacob Krantz
PY - 2026
DA - 2026/09/28
PB - arXiv
DO - 10.48550/arxiv.2609.35731
UR - https://arxiv.org/abs/2609.35731
AB - Let M be a compact Riemannian manifold, and let G be a compact Lie group with bi-invariant metric. We show that the singular set of any stable stationary harmonic map u : M → G has Hausdorff codimension at least four. This is sharp.
ER -