Translators of flows by powers of the Gauss curvature Aydin, Muhittin Evren López Camino, Rafael Darboux surface Surface of revolution Helicoidal surfaces A -translator is a surface in Euclidean space that moves by translations in a spatial direction under the -flow, where K is the Gauss curvature and is a constant. We classify all -translators that are rotationally symmetric. In particular, we prove that for each there is a -translator intersecting orthogonally the rotation axis. We also describe all -translators invariant by a uniparametric group of helicoidal motions and the translators obtained by separation of variables. 2026-01-21T13:20:40Z 2026-01-21T13:20:40Z 2023 journal article M. E. Aydin, R. López. Translators of flows by powers of the Gauss curvature. Annali di Matematica Pura ed Applicata (2023) 202:235–251 https://doi.org/10.1007/s10231-022-01239-1 https://hdl.handle.net/10481/110052 10.1007/s10231-022-01239-1 eng http://creativecommons.org/licenses/by-nc-nd/3.0/ open access Creative Commons Attribution-NonCommercial-NoDerivs 3.0 License Springer Nature