A half-space theorem for ideal Scherk graphs in \(M \times \mathbb R\)
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Publication:2255317
DOI10.1307/mmj/1417799220zbMath1309.53005arXiv1306.6305OpenAlexW2963254449WikidataQ125922103 ScholiaQ125922103MaRDI QIDQ2255317
Publication date: 9 February 2015
Published in: Michigan Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1306.6305
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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Isoperimetric inequalities and regularity of \(a\)-harmonic functions on surfaces ⋮ Some half-space theorems in the real projective space ⋮ A half-space theorem for graphs of constant mean curvature \(0<H<\frac{1}{2}\) in \(\mathbb{H}^{2}\times\mathbb{R}\)
Cites Work
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- On complete mean curvature \(\frac 12\) surfaces in \(\mathbb{H}^2\times\mathbb{R}\)
- Minimal surfaces in \(\mathbb{H}^2\times\mathbb{R}\).
- Visibility manifolds
- An extension of a theorem of Serrin to graphs in warped products
- A general halfspace theorem for constant mean curvature surfaces
- Minimal surfaces and harmonic diffeomorphisms from the complex plane onto certain Hadamard surfaces
- Half-space theorem, embedded minimal annuli and minimal graphs in the Heisenberg group
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