On regular algebraic hypersurfaces with non-zero constant mean curvature in Euclidean spaces

DOI10.1017/prm.2021.49zbMath1497.53108arXiv2104.03700OpenAlexW3197399801WikidataQ114117843 ScholiaQ114117843MaRDI QIDQ5094468

Alexandre Paiva Barreto, Luiz Hartmann, Francisco Fontenele

Publication date: 3 August 2022

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2104.03700

zbMATH Keywords

constant mean curvaturealgebraic hypersurface

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)

Related Items (1)

On complete hypersurfaces with negative Ricci curvature in Euclidean spaces

Cites Work

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• ON ALGEBRAIC MINIMAL SURFACES IN ℝ³ DERIVING FROM CHARGE 2 MONOPOLE SPECTRAL CURVES
• Algebraic minimal surfaces in $\mathsf R^4$
• Algebraic constant mean curvature surfaces in Euclidean space
• Globally subanalytic CMC surfaces in ℝ³ with singularities

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