PreprintCC BY-NC-ND 4.0arXiv
Free boundary minimal surfaces of genus zero
Abstract
We prove that any embedded genus zero free boundary minimal surface in the ball has first Steklov eigenvalue $1$. This implies the uniqueness of the critical catenoid.
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BibTeX
@misc{chodosh2026free,
title = {{Free boundary minimal surfaces of genus zero}},
author = {Otis Chodosh and Matilde Gianocca},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2609.13054},
eprint = {2609.13054},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.13054},
note = {CC BY-NC-ND 4.0},
}
RIS
TY - UNPB
TI - Free boundary minimal surfaces of genus zero
AU - Otis Chodosh
AU - Matilde Gianocca
PY - 2026
DA - 2026/10/23
PB - arXiv
DO - 10.48550/arxiv.2609.13054
UR - https://arxiv.org/abs/2609.13054
AB - We prove that any embedded genus zero free boundary minimal surface in the ball has first Steklov eigenvalue $1$. This implies the uniqueness of the critical catenoid.
ER -