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

Antonio Bueno

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arXiv · 2610.08342

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

Antonio Bueno

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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.

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Antonio Bueno. 2026-10-06. Stable constant mean curvature disks with circular boundary in homogeneous three-manifolds. https://arxiv.org/abs/2610.08342

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