On the moduli space of isometric surfaces with the same mean curvature in 4-dimensional space forms

DOI10.1007/s12220-018-0040-4zbMath1417.53066arXiv1610.07291OpenAlexW2962814980WikidataQ125824238 ScholiaQ125824238MaRDI QIDQ2419737

Kleanthis Polymerakis, Theodoros Vlachos

Publication date: 14 June 2019

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1610.07291

zbMATH Keywords

Gauss mapmean curvaturetwistor bundleassociated familyholomorphic differentialBonnet problemGauss liftsuperconformal surfaces

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)

Related Items (3)

Bonnet and isotropically isothermic surfaces in 4-dimensional space forms ⋮ Infinitesimally Bonnet bendable hypersurfaces ⋮ On the geometry of hypersurfaces in \({\mathbb{S}}^2 \times{\mathbb{S}}^2 \)

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