Work

Stable constant mean curvature disks with circular boundary in homogeneous three-manifolds

Year: 2026
Type: preprint
Abstract: Let $H>0$ and $κ,τ\in\mathbb{R}$ satisfy $4H^2+κ>0$ and $κ\leq 4τ^2$. We prove that an immersed stable disk of constant mean curvature $H$ and circular boundary in the space $\mathbb{E}(κ,τ)$ is a spherical cap of the canonical rotational $H$-sphere.
Language: English
Open Access status: green
OpenAlex ID: W7220967569
Cites: 5
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Related to: 10