INVARIANT CMC SURFACES IN ${\mathbb H}^2\times {\mathbb R}$
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Publication:4819346
DOI10.1017/S001708950400179XzbMath1055.53045MaRDI QIDQ4819346
Stefano Montaldo, Irene Ignazia Onnis
Publication date: 24 September 2004
Published in: Glasgow Mathematical Journal (Search for Journal in Brave)
Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)
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On the Three-Dimensional Homogenous SO(2)-Isotropic Riemannian Manifolds ⋮ Conjugate plateau constructions in product spaces ⋮ Invariant translators of the solvable group ⋮ Graph Surfaces Invariant by Parabolic screw Motions with Constant Curvature in $ \: \mathbb H^2 \times \mathbb R$ ⋮ All solutions of the CMC-equation in \({\mathbb H^n\times\mathbb R}\) invariant by parabolic screw motion ⋮ Uniqueness of \(H\)-surfaces in \(\mathbb H^2 \times \mathbb R\), \(|H|\leq 1/2\), with boundary one or two parallel horizontal circles ⋮ Invariant surfaces with constant mean curvature in \(\mathbb H^2 \times \mathbb R\) ⋮ Examples and structure of CMC surfaces in some Riemannian and Lorentzian homogeneous spaces ⋮ Invariant surfaces in the homogeneous space Sol with constant curvature ⋮ Hypersurfaces with constant principal curvatures in \(\mathbb{S}^n\times\mathbb{R}\) and \(\mathbb{H}^n\times\mathbb{R}\) ⋮ Geodesics on an invariant surface ⋮ Loxodromes on invariant surfaces in three-manifolds ⋮ Bour's theorem and helicoidal surfaces with constant mean curvature in the Bianchi-Cartan-Vranceanu spaces
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