Work

Local interpolation for minimal surfaces

Year: 2019
Type: preprint
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 $l$.
Language: English
Open Access status: green
OpenAlex ID: W2963584084
Cites: 7
Cited by: 1
Related to: 20