Weingarten hypersurfaces of the spherical type in Euclidean spaces

DOI10.14712/1213-7243.2020.024OpenAlexW3097910332MaRDI QIDQ5140423

Cid D. F. MacHado, Carlos M. C. Riveros

Publication date: 15 December 2020

Published in: Commentationes Mathematicae Universitatis Carolinae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.14712/1213-7243.2020.024

zbMATH Keywords

Laplace-Beltrami operator\(r\)th mean curvatureLaguerre minimal surfaceWeingarten hypersurface

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Non-Euclidean differential geometry (53A35)

Cites Work

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• Hypersurfaces in hyperbolic space associated with the conformal scalar curvature equation \(\Delta u +ku^{\frac{n+2}{n-2}}=0\)
• Laguerre minimal surfaces, isotropic geometry and linear elasticity
• Generalized Weingarten surfaces of harmonic type in hyperbolic 3-space
• The Gauss map of immersions of Riemannian manifolds in spaces of constant curvature
• On Laplace–Darboux-type sequences of generalized Weingarten surfaces
• Complete linear Weingarten surfaces of Bryant type. A Plateau problem at infinity

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