All solutions of the CMC-equation in \({\mathbb H^n\times\mathbb R}\) invariant by parabolic screw motion
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Publication:2436011
DOI10.1007/s10231-012-0268-8zbMath1296.53114OpenAlexW1976862796MaRDI QIDQ2436011
Ricardo Sa Earp, Maria Fernanda Elbert
Publication date: 21 February 2014
Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10231-012-0268-8
Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Second-order elliptic equations (35J15) Global submanifolds (53C40)
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Cites Work
- Eigenvalue estimates for hypersurfaces in \(\mathbb H^{m} \times \mathbb R\) and applications
- Minimal graphs in \(\mathbb H^n\times \mathbb R\) and \(\mathbb R^{n+1}\)
- Screw motion surfaces in \(\mathbb H^2 \times \mathbb R\) and \(\mathbb S^2\times \mathbb R\)
- Isometric immersions into 3-dimensional homogeneous manifolds
- Invariant surfaces with constant mean curvature in \(\mathbb H^2 \times \mathbb R\)
- Minimal surfaces in \(M^2\times \mathbb{R}\)
- Minimal surfaces in \(\mathbb{H}^2\times\mathbb{R}\).
- PARABOLIC AND HYPERBOLIC SCREW MOTION SURFACES IN ℍ2×ℝ
- Examples of $H$-hypersurfaces in $H^n \times R$ and geometric applications
- Isometric immersions into $\mathbb {S}^n\times \mathbb {R}$ and $\mathbb {H}^n\times \mathbb {R}$ and applications to minimal surfaces
- Foliation of 3-dimensional space forms by surfaces with constant mean curvature
- INVARIANT CMC SURFACES IN ${\mathbb H}^2\times {\mathbb R}$
- Riemannian geometry and geometric analysis
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