The tension field of the conformal Gauss map

DOI10.4064/cm7955-11-2020zbMath1486.53024OpenAlexW3172958657WikidataQ114022011 ScholiaQ114022011MaRDI QIDQ5029000

Lin Liang, Jian Bo Fang

Publication date: 11 February 2022

Published in: Colloquium Mathematicum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/cm7955-11-2020

zbMATH Keywords

hypersurfaceharmonic mapsde Sitter spacetension fieldconformal Gauss map

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Local submanifolds (53B25) Differential geometry of submanifolds of Möbius space (53A31)

Cites Work

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• Some results on stable harmonic maps
• Harmonic Gauss maps
• The conformal Gauss map and the stability of Willmore surfaces
• The Gauss map of immersions of Riemannian manifolds in spaces of constant curvature
• Complete minimal surfaces in \(S^ 3\)
• The hypersurfaces with conformal normal Gauss map in Hn+1 and S1n+1
• The Harmonic Gauss Maps in a Generalized Sense
• On the Volume Decreasing Property of a Class of Real Harmonic Mappings
• A Report on Harmonic Maps
• The Tension Field of the Gauss Map
• Harmonic Mappings of Riemannian Manifolds

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