A note on a rigidity estimate for degree ±1$\pm 1$ conformal maps on S2$\mathbb {S}^2$
Author:
Affiliation:
1. Mathematisches Institut Universität Leipzig Leipzig Germany
2. Applied Mathematics Münster University of Münster Münster Germany
Funder
Deutsche Forschungsgemeinschaft
Publisher
Wiley
Subject
General Mathematics
Link
https://onlinelibrary.wiley.com/doi/pdf/10.1112/blms.12591
Reference4 articles.
1. A Quantitative Description of Skyrmions in Ultrathin Ferromagnetic Films and Rigidity of Degree $$\pm \,1$$ Harmonic Maps from $${\mathbb {R}}^2$$ to $${\mathbb {S}}^2$$
2. Degree theory and BMO; part I: Compact manifolds without boundaries
3. S.LuckhausandK.Zemas Rigidity estimates for isometric and conformal maps fromSn−1$\mathbb {S}^{n-1}$toRn$\mathbb {R}^n$ arXiv:2101.03846 2021.
4. P. M.Topping A Rigidity estimate for maps fromS2$\mathbb {S}^2$toS2$\mathbb {S}^2$via the harmonic map flow arXiv:2009.10459 2020.
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1. Quantitative stability of harmonic maps from $${\mathbb {R}}^2$$ to $${\mathbb {S}}^2$$ with a higher degree;Calculus of Variations and Partial Differential Equations;2024-04-13
2. Magnetic Skyrmions Under Confinement;Communications in Mathematical Physics;2023-11-05
3. Non-degeneracy and quantitative stability of half-harmonic maps from R to S;Advances in Mathematics;2023-05
4. A rigidity estimate for maps from S2$S^2$ to S2$S^2$ via the harmonic map flow;Bulletin of the London Mathematical Society;2022-09-22
5. Rigidity estimates for isometric and conformal maps from $${\mathbb {S}}^{n-1}$$ to $${\mathbb {R}}^n$$;Inventiones mathematicae;2022-06-29
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