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arXiv · 2008.06583

Minimal Surfaces in $\mathbb{H}_2\times \mathbb{R}$: Nonfillable Curves

Baris Coskunuzer
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Abstract

We study the asymptotic Plateau problem in $\mathbb{H}_2\times \mathbb{R}$. We give the first examples of non-fillable finite curves with no thin tail in the asymptotic cylinder. Furthermore, we study the fillability question for infinite curves in the asymptotic boundary.

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Baris Coskunuzer. 2020-08-14. Minimal Surfaces in $\mathbb{H}_2\times \mathbb{R}$: Nonfillable Curves. https://doi.org/10.1142/s1793525321500230

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