Nonexistence of the quasi-harmonic spheres and harmonic spheres into certain manifold

DOI10.1007/s10114-022-1280-6zbMath1500.58007OpenAlexW4285806393WikidataQ114228354 ScholiaQ114228354MaRDI QIDQ2157576

Yaoting Gui

Publication date: 22 July 2022

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-022-1280-6

zbMATH Keywords

warped product structurenonexistence of harmonic spheresnonexistence of quasi-harmonic spheres

Mathematics Subject Classification ID

Harmonic maps, etc. (58E20) Potential theory on fractals and metric spaces (31E05)

Cites Work

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• The regularity of harmonic maps into spheres and applications to Bernstein problems
• Harmonic maps to spheres
• On the evolution of harmonic mappings of Riemannian surfaces
• Blow-up and global existence for heat flows of harmonic maps
• Finite-time blow-up of the heat flow of harmonic maps from surfaces
• An existence theorem for harmonic mappings of Riemannian manifolds
• Harmonic and quasi-harmonic spheres
• Non existence of quasi-harmonic spheres
• Harmonic Mappings of Riemannian Manifolds

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