A note on a rigidity estimate for degree ±1$\pm 1$ conformal maps on S2$\mathbb {S}^2$

DOI10.1112/blms.12591arXiv2103.05390OpenAlexW4221073494MaRDI QIDQ6133246

Jonas Hirsch, Konstantinos Zemas

Publication date: 18 August 2023

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2103.05390

zbMATH Keywords

rigidity theoremexcess energyconformal maps on \(\mathbb S^2\)

Mathematics Subject Classification ID

Variational problems in a geometric measure-theoretic setting (49Q20) Extremal problems for conformal and quasiconformal mappings, variational methods (30C70) Inequalities involving derivatives and differential and integral operators (26D10)

Related Items (3)

Rigidity estimates for isometric and conformal maps from \(\mathbb{S}^{n-1}\) to \(\mathbb{R}^n\) ⋮ Magnetic skyrmions under confinement ⋮ Non-degeneracy and quantitative stability of half-harmonic maps from \(\mathbb{R}\) to \(\mathbb{S}\)

Cites Work

• Degree theory of BMO. I: Compact manifolds without boundaries
• Rigidity estimates for isometric and conformal maps from \(\mathbb{S}^{n-1}\) to \(\mathbb{R}^n\)
• A quantitative description of skyrmions in ultrathin ferromagnetic films and rigidity of degree \(\pm 1\) harmonic maps from \(\mathbb{R}^2\) to \(\mathbb{S}^2\)

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