Symmetry of properly embedded special Weingarten surfaces in $\mathbf {H}^3$

DOI10.1090/S0002-9947-99-02511-8zbMath0989.53003OpenAlexW1993438160MaRDI QIDQ4269084

Eric Toubiana, Ricardo Sa Earp

Publication date: 31 October 1999

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-99-02511-8

zbMATH Keywords

hyperbolic spacespecial Weingarten surface\(f\)-surface

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) Surfaces in Euclidean and related spaces (53A05)

Related Items

Complete linear Weingarten surfaces of Bryant type. A Plateau problem at infinity, Classification of rotational special Weingarten surfaces of minimal type in \({\mathbb{S}^2 \times \mathbb{R}}\) and \({\mathbb{H}^2 \times \mathbb{R}}\), A Weierstrass representation for linear Weingarten spacelike surfaces of maximal type in the Lorentz-Minkowski space., Uniqueness of \(H\)-surfaces in \(\mathbb H^2 \times \mathbb R\), \(|H|\leq 1/2\), with boundary one or two parallel horizontal circles, Generalized Weingarten surfaces of harmonic type in hyperbolic 3-space, The Codazzi equation for surfaces, Height estimate for special Weingarten surfaces of elliptic type in 𝕄²(𝕔)×ℝ, Rotational Weingarten surfaces in hyperbolic 3-space, Hypersurfaces in hyperbolic space with support function

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