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Minimal surfaces in ℍ2 × ℝ: Non-fillable curves - MaRDI portal

Minimal surfaces in ℍ2 × ℝ: Non-fillable curves (Q5880380)

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scientific article; zbMATH DE number 7661002

Language	Label	Description	Also known as
English	Minimal surfaces in ℍ2 × ℝ: Non-fillable curves	scientific article; zbMATH DE number 7661002

Statements

scholarly article

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Minimal surfaces in ℍ2 × ℝ: Non-fillable curves (English)

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Baris Coskunuzer

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Journal of Topology and Analysis

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publication date

9 March 2023

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full work available at URL

https://arxiv.org/abs/2008.06583

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zbMATH Keywords

asymptotic Plateau problem

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minimal surfaces

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fillable curves

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MaRDI profile type

MaRDI publication profile

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Complete minimal varieties in hyperbolic space

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Properly immersed minimal surfaces in a slab of \(\mathbb H\times\mathbb R\), \(\mathbb H\) the hyperbolic plane

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Construction of harmonic diffeomorphisms and minimal graphs

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Asymptotic \(H\)-Plateau problem in \(\mathbb H^3\)

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Asymptotic Plateau problem in \(\mathbb{H}^2\times \mathbb{R}\)

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Non-properly embedded \(H\)-planes in \(\mathbb{H}^3\)

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Isometric immersions into $\mathbb {S}^n\times \mathbb {R}$ and $\mathbb {H}^n\times \mathbb {R}$ and applications to minimal surfaces

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Properly embedded minimal annuli in \(\mathbb{H}^2 \times \mathbb{R}\)

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On the characterization of minimal surfaces with finite total curvature in \({\mathbb {H}}^2\times {\mathbb {R}}\) and \(\widetilde{\mathrm{PSL}}_2 ({\mathbb {R}})\)

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A Schoen theorem for minimal surfaces in \(\mathbb{H}^2 \times \mathbb{R}\)

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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

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On the asymptotic behavior of minimal surfaces in $\\mathbb{H}^2\\times\\mathbb{R}$

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Minimal surfaces with positive genus and finite total curvature in \(\mathbb{H}^2 \times \mathbb{R}\)

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Saddle towers and minimal <i>k</i>-noids in ℍ<sup>2</sup> × ℝ

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The Dirichlet problem for the minimal surface equation, with possible infinite boundary data, over domains in a Riemannian surface

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Minimal surfaces in \(\mathbb{H}^2\times\mathbb{R}\).

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Uniqueness of \(H\)-surfaces in \(\mathbb H^2 \times \mathbb R\), \(|H|\leq 1/2\), with boundary one or two parallel horizontal circles

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New complete embedded minimal surfaces in \({\mathbb {H} ^2\times \mathbb {R}}\)

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Simply Connected Minimal Surfaces with Finite Total Curvature in ℍ2 × ℝ

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Nonproper Complete Minimal Surfaces Embedded in H2 x R

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An asymptotic theorem for minimal surfaces and existence results for minimal graphs in \({\mathbb H^2 \times \mathbb R}\)

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Concentration of total curvature of minimal surfaces in \(\mathbb {H}^2\times \mathbb R\)

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Identifiers

10.1142/S1793525321500230

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:5880380

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