Complete non-orientable minimal surfaces of finite total curvature: Approximation and interpolation
Year: 2026
Type: preprint
Abstract: In this paper, we prove a uniform approximation theorem with interpolation for complete non-orientable minimal surfaces of finite total curvature in the Euclidean space $\mathbb{R}^n$ $(n\ge 3)$. In particular, we establish the existence of such surfaces with the complex structure of any open conformal non-orientable surface of finite topology and parabolic type.
Source: arXiv (Cornell University)
Authors: Alarcon, Antonio, Lopez, Francisco J.
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7220970289