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arXiv · 2412.16070

Invariant constant mean curvature tubes in homogeneous spaces

Philipp Käse·Francisco Torralbo
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Abstract

We study the global geometry of families of tubes of constant mean curvature invariant under screw-motions in homogeneous $\mathbb{E}(\kappa,\tau)$-spaces. In particular, we study embeddedness and prove a foliation result. Moreover, we study numerically the isoperimetric profile in the compact case.

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Philipp Käse, Francisco Torralbo. 2024-12-20. Invariant constant mean curvature tubes in homogeneous spaces. https://arxiv.org/abs/2412.16070

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