A rigidity estimate for maps from S2$S^2$ to S2$S^2$ via the harmonic map flow

DOI10.1112/blms.12731arXiv2009.10459OpenAlexW4296656092MaRDI QIDQ6135058

Peter Miles Topping

Publication date: 23 August 2023

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

Full work available at URL: https://arxiv.org/abs/2009.10459

zbMATH Keywords

harmonic map flow

Mathematics Subject Classification ID

Differential geometric aspects of harmonic maps (53C43) Harmonic maps, etc. (58E20) Geometric evolution equations (53E99)

Related Items (2)

Magnetic skyrmions under confinement ⋮ Non-degeneracy and quantitative stability of half-harmonic maps from \(\mathbb{R}\) to \(\mathbb{S}\)

Cites Work

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• Rigidity in the harmonic map heat flow
• Repulsion and quantization in almost-harmonic maps, and asymptotic of the harmonic map flow
• A quantitative description of skyrmions in ultrathin ferromagnetic films and rigidity of degree \(\pm 1\) harmonic maps from \(\mathbb{R}^2\) to \(\mathbb{S}^2\)
• Variational Methods
• Harmonic Mappings of Riemannian Manifolds

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