Minimal surfaces in ℍ2 × ℝ: Non-fillable curves
From MaRDI portal
Publication:5880380
DOI10.1142/S1793525321500230MaRDI QIDQ5880380
Publication date: 9 March 2023
Published in: Journal of Topology and Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2008.06583
Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)
Related Items (1)
Cites Work
- Unnamed Item
- Asymptotic \(H\)-Plateau problem in \(\mathbb H^3\)
- Minimal surfaces with positive genus and finite total curvature in \(\mathbb{H}^2 \times \mathbb{R}\)
- Non-properly embedded \(H\)-planes in \(\mathbb{H}^3\)
- Construction of harmonic diffeomorphisms and minimal graphs
- New complete embedded minimal surfaces in \({\mathbb {H} ^2\times \mathbb {R}}\)
- Uniqueness of \(H\)-surfaces in \(\mathbb H^2 \times \mathbb R\), \(|H|\leq 1/2\), with boundary one or two parallel horizontal circles
- An asymptotic theorem for minimal surfaces and existence results for minimal graphs in \({\mathbb H^2 \times \mathbb R}\)
- Complete minimal varieties in hyperbolic space
- Minimal surfaces in \(\mathbb{H}^2\times\mathbb{R}\).
- Asymptotic Plateau problem in \(\mathbb{H}^2\times \mathbb{R}\)
- Concentration of total curvature of minimal surfaces in \(\mathbb {H}^2\times \mathbb R\)
- On the characterization of minimal surfaces with finite total curvature in \({\mathbb {H}}^2\times {\mathbb {R}}\) and \(\widetilde{\mathrm{PSL}}_2 ({\mathbb {R}})\)
- Properly embedded minimal annuli in \(\mathbb{H}^2 \times \mathbb{R}\)
- Properly immersed minimal surfaces in a slab of \(\mathbb H\times\mathbb R\), \(\mathbb H\) the hyperbolic plane
- A Schoen theorem for minimal surfaces in \(\mathbb{H}^2 \times \mathbb{R}\)
- Simply Connected Minimal Surfaces with Finite Total Curvature in ℍ2 × ℝ
- The Dirichlet problem for the minimal surface equation, with possible infinite boundary data, over domains in a Riemannian surface
- Infinite boundary value problems for constant mean curvature graphs in ℍ<sup xmlns:m="http://www.w3.org/1998/Math/MathML" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">2</sup> × ℝ and <b>S</b><sup xmlns:m="http://www.w3.org/1998/Math/MathML" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">2</sup> × ℝ
- Isometric immersions into $\mathbb {S}^n\times \mathbb {R}$ and $\mathbb {H}^n\times \mathbb {R}$ and applications to minimal surfaces
- On the asymptotic behavior of minimal surfaces in $\\mathbb{H}^2\\times\\mathbb{R}$
- Saddle towers and minimal k-noids in ℍ2 × ℝ
- Nonproper Complete Minimal Surfaces Embedded in H2 x R
This page was built for publication: Minimal surfaces in ℍ2 × ℝ: Non-fillable curves