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arXiv · 1907.10780

Local interpolation for minimal surfaces

Rukmini Dey·Pradip Kumar·Rahul Kumar Singh
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Abstract

Let $a: I\to \mathbb{R}^3 $ be a real analytic curve satisfying some conditions. In this article, we show that for any real analytic curve $l:I\to \mathbb R^3$ close to $a$ (in a sense which is precisely defined in the paper) there exists a translation of $l$, and a minimal surface which contains both $ a $ and the translated $l$.

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Rukmini Dey, Pradip Kumar, Rahul Kumar Singh. 2019-07-25. Local interpolation for minimal surfaces. https://arxiv.org/abs/1907.10780

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