A gap theorem for \(\alpha\)-harmonic maps between two-spheres

DOI10.2140/apde.2021.14.881zbMath1477.58008arXiv1903.10217OpenAlexW3163446490MaRDI QIDQ2037458

Tobias Lamm, Mario J. Micallef, Andrea Malchiodi

Publication date: 1 July 2021

Published in: Analysis \& PDE (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1903.10217

zbMATH Keywords

gap theorems\(\alpha\)-harmonic maps

Mathematics Subject Classification ID

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

Related Items (2)

The qualitative behavior for 𝛼-harmonic maps from a surface with boundary into a sphere ⋮ Minimal Ws,ns$W^{s,\frac{n}{s}}$‐harmonic maps in homotopy classes

Cites Work

• Unnamed Item
• Minimal two-spheres and the topology of manifolds with positive curvature on totally isotropic two-planes
• The existence of minimal immersions of 2-spheres
• Minimization of conformally invariant energies in homotopy classes
• A conformally invariant gap theorem in Yang-Mills theory
• Energy identity and necklessness for a sequence of Sacks-Uhlenbeck maps to a sphere
• Limits of \(\alpha\)-harmonic maps
• A conformally invariant gap theorem characterizing \(\mathbb{CP}^2\) via the Ricci flow
• A counterexample to the energy identity for sequences of \(\alpha\)-harmonic maps
• Min-max theory and the Willmore conjecture
• Minimal varieties in Riemannian manifolds
• A weak energy identity and the length of necks for a sequence of Sacks-Uhlenbeck \(\alpha \)-harmonic maps
• Energy identity for approximations of harmonic maps from surfaces
• A Report on Harmonic Maps
• Morse theory on Banach manifolds

This page was built for publication: A gap theorem for \(\alpha\)-harmonic maps between two-spheres