PreprintCC BY 4.0arXiv
The spherical cap conjecture for immersed disks
Abstract
We prove that every smooth immersed disk in Euclidean three-space with nonzero constant mean curvature, regular up to the boundary and mapping its boundary diffeomorphically onto a circle, is an embedded spherical cap.
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BibTeX
@misc{espinar2026spherical,
title = {{The spherical cap conjecture for immersed disks}},
author = {José M. Espinar},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.24766},
eprint = {2609.24766},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.24766},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - The spherical cap conjecture for immersed disks
AU - José M. Espinar
PY - 2026
DA - 2026/09/21
PB - arXiv
DO - 10.48550/arxiv.2609.24766
UR - https://arxiv.org/abs/2609.24766
AB - We prove that every smooth immersed disk in Euclidean three-space with nonzero constant mean curvature, regular up to the boundary and mapping its boundary diffeomorphically onto a circle, is an embedded spherical cap.
ER -