2019/07/25 by Rukmini Dey, Dey, Rukmini, Pradip Kumar +3
Mathematics · #Advanced Harmonic Analysis Research #Differential Geometry #Differential Geometry (math.DG) #FOS: Mathematics #Functional Analysis #Functional Analysis (math.FA) #Holomorphic and Operator Theory #Meromorphic and Entire Functions
paper · pdf · doi:10.48550/arxiv.1907.10780
openalex publication_date 2019/07/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Let a: I→ ℝ3 be a real analytic curve satisfying some conditions. In this article, we show that for any real analytic curve l:I→ \mathbb R3 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.