Spherical conical metrics and harmonic maps to spheres

DOI10.1090/tran/8578zbMath1497.53114arXiv2104.10304OpenAlexW4213114163WikidataQ114093758 ScholiaQ114093758MaRDI QIDQ5067617

Mikhail Karpukhin, Xuwen Zhu

Publication date: 4 April 2022

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2104.10304

zbMATH Keywords

harmonic mapsconical singularitiesdeveloping maps\(2\)-eigenfunctionsspherical conical metric

Mathematics Subject Classification ID

Differential geometric aspects of harmonic maps (53C43) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Cites Work

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• Metrics of constant positive curvature with four conic singularities on the sphere
• On Minimal Immersions of S 2 Into S 2m
• Harmonic 2-spheres with $r$ pairs of extra eigenfunctions
• Spherical Metrics with Conical Singularities on a 2-Sphere: Angle Constraints
• Metrics of positive curvature with conic singularities on the sphere
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