Invariant constant mean curvature tubes in homogeneous spaces
Differential Geometry
2024-12-23 v1
Abstract
We study the global geometry of families of tubes of constant mean curvature invariant under screw-motions in homogeneous -spaces. In particular, we study embeddedness and prove a foliation result. Moreover, we study numerically the isoperimetric profile in the compact case.
Cite
@article{arxiv.2412.16070,
title = {Invariant constant mean curvature tubes in homogeneous spaces},
author = {Philipp Käse and Francisco Torralbo},
journal= {arXiv preprint arXiv:2412.16070},
year = {2024}
}