Work

Partial Regularity of Stable Stationary Harmonic Maps into Compact Lie Groups

Year: 2026
Type: preprint
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 $u : M \to G$ has Hausdorff codimension at least four. This is sharp.
Language: English
Open Access status: green
OpenAlex ID: W7214759877
Cites: 14
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Related to: 10