PreprintCC BY 4.0arXiv
Stable constant mean curvature disks with circular boundary in homogeneous three-manifolds
Abstract
Let H>0 and κ,τ∈ℝ satisfy 4H2+κ>0 and κ≤ 4τ2. We prove that an immersed stable disk of constant mean curvature H and circular boundary in the space 𝔼(κ,τ) is a spherical cap of the canonical rotational H-sphere.
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BibTeX
@misc{bueno2026stable,
title = {{Stable constant mean curvature disks with circular boundary in homogeneous three-manifolds}},
author = {Antonio Bueno},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.08342},
eprint = {2610.08342},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.08342},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Stable constant mean curvature disks with circular boundary in homogeneous three-manifolds
AU - Antonio Bueno
PY - 2026
DA - 2026/10/06
PB - arXiv
DO - 10.48550/arxiv.2610.08342
UR - https://arxiv.org/abs/2610.08342
AB - Let H>0 and κ,τ∈ℝ satisfy 4H^2+κ>0 and κ≤ 4τ^2. We prove that an immersed stable disk of constant mean curvature H and circular boundary in the space 𝔼(κ,τ) is a spherical cap of the canonical rotational H-sphere.
ER -