PreprintarXiv licencearXiv
Constant mean curvature disks with circular boundary
Abstract
We prove that a compact immersed disk of constant mean curvature in R3 whose boundary is mapped diffeomorphically onto a round circle is a planar disk or a spherical cap.
Related
- Constant mean curvature disks with circular boundary in the $3$-sphere and in hyperbolic space
- Stable constant mean curvature disks with circular boundary in homogeneous three-manifolds
- Hypersurfaces of constant higher order mean curvature in hyperbolic space with prescribed asymptotic boundary at infinity
- Stability and uniqueness of minimal disks in non-constant curvature
- Existence of disks with prescribed mean curvature and contact angle in arbitrary codimension
BibTeX
@misc{maximo2026constant,
title = {{Constant mean curvature disks with circular boundary}},
author = {Davi Maximo and Ivaldo Nunes},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.28929},
eprint = {2609.28929},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.28929},
}
RIS
TY - UNPB
TI - Constant mean curvature disks with circular boundary
AU - Davi Maximo
AU - Ivaldo Nunes
PY - 2026
DA - 2026/09/24
PB - arXiv
DO - 10.48550/arxiv.2609.28929
UR - https://arxiv.org/abs/2609.28929
AB - We prove that a compact immersed disk of constant mean curvature in R^3 whose boundary is mapped diffeomorphically onto a round circle is a planar disk or a spherical cap.
ER -