PreprintarXiv licencearXiv
Complete non-orientable minimal surfaces of finite total curvature: Approximation and interpolation
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 ℝn (n≥ 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.
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BibTeX
@misc{alarcon2026complete,
title = {{Complete non-orientable minimal surfaces of finite total curvature: Approximation and interpolation}},
author = {Antonio Alarcon and Francisco J. Lopez},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.08163},
eprint = {2610.08163},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.08163},
}
RIS
TY - UNPB
TI - Complete non-orientable minimal surfaces of finite total curvature: Approximation and interpolation
AU - Antonio Alarcon
AU - Francisco J. Lopez
PY - 2026
DA - 2026/10/06
PB - arXiv
DO - 10.48550/arxiv.2610.08163
UR - https://arxiv.org/abs/2610.08163
AB - 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 ℝ^n (n≥ 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.
ER -