Rotational linear Weingarten surfaces into the Euclidean sphere

DOI10.1007/s11856-012-0053-9zbMath1259.53050arXiv1012.4352OpenAlexW1987416693MaRDI QIDQ1936817

Yanyan Li

Publication date: 7 February 2013

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1012.4352

zbMATH Keywords

mean curvature

Mathematics Subject Classification ID

Global submanifolds (53C40)

Related Items (7)

On the umbilicity of generalized linear Weingarten hypersurfaces in hyperbolic spaces ⋮ On rotational surfaces in 3-dimensional de Sitter space with Weingarten condition ⋮ LINEAR WEINGARTEN HYPERSURFACES WITH BOUNDED MEAN CURVATURE IN THE HYPERBOLIC SPACE ⋮ Radial solutions for equations of Weingarten type ⋮ Channel linear Weingarten surfaces in space forms ⋮ Rotational Weingarten surfaces in hyperbolic 3-space ⋮ A variational characterization of profile curves of invariant linear Weingarten surfaces

Cites Work

• The Codazzi equation for surfaces
• Rotational linear Weingarten surfaces of hyperbolic type
• The geometry of properly embedded special surfaces in \(\mathbb{R}^ 3\); e.g., surfaces satisfying \(aH+bK=1\), where \(a\) and \(b\) are positive
• Addendum to ``Complete rotation hypersurfaces with \(H_k\) constant in space forms
• Closed special Weingarten surfaces in the standard three sphere
• LINEAR WEINGARTEN HYPERSURFACES IN A UNIT SPHERE
• Rotation Hypersurfaces in Spaces of Constant Curvature
• Complete rotation hypersurfaces with Hk constant in space forms

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