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Stable Capillary Minimal Hypersurfaces in R4+
Abstract
We prove that a complete, two-sided, stable capillary minimal hypersurface in R4+ is flat provided its contact angle θ satisfies |cotθ|<κ*, where κ*=4Γ(3/4)2/Γ(1/4)2≈ 0.45.
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BibTeX
@misc{li2026stable,
title = {{Stable Capillary Minimal Hypersurfaces in $\R^4_+$}},
author = {Jia Li and Chenghang Lu and Chao Xia},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.24251},
eprint = {2609.24251},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.24251},
}
RIS
TY - UNPB
TI - Stable Capillary Minimal Hypersurfaces in R^4_+
AU - Jia Li
AU - Chenghang Lu
AU - Chao Xia
PY - 2026
DA - 2026/09/21
PB - arXiv
DO - 10.48550/arxiv.2609.24251
UR - https://arxiv.org/abs/2609.24251
AB - We prove that a complete, two-sided, stable capillary minimal hypersurface in R^4_+ is flat provided its contact angle θ satisfies |cotθ|<κ_*, where κ_*=4Γ(3/4)^2/Γ(1/4)^2≈ 0.45.
ER -