@misc{10481/107691, year = {2026}, month = {4}, url = {https://hdl.handle.net/10481/107691}, abstract = {We study the global geometry of families of tubes of constant mean curvature invariant under screw-motions in homogeneous E(κ, τ)-spaces. In particular, we study embeddedness and prove a foliation result. Moreover, we numerically analyze the isoperimetric profile in the compact case.}, organization = {MCIN/AEI/10.13039/501100011033 – (PID2022-142559NB-I00, CEX2020-001105-M, IMAG–María de Maeztu grant)}, publisher = {Elsevier}, keywords = {Constant mean curvature}, keywords = {Equivariant geometry}, keywords = {Invariant surfaces}, title = {Invariant constant mean curvature tubes in homogeneous spaces}, doi = {10.1016/j.jmaa.2025.130110}, author = {Käse, Philipp and Torralbo Torralbo, Francisco}, }