A note on helices in the Euclidean space and in the hyperbolic space López Camino, Rafael General helix Helix Lancret relation We prove that general helices in Euclidean space for Killing vector fields associated to rotations are helices, that is, curves with constant curvature and constant torsion. In hyperbolic space H3, we obtain the parametrizations of helices for all types of Killing vector fields. It is proved that these helices are geodesics in suitable surfaces of H3. 2025-09-17T08:51:24Z 2025-09-17T08:51:24Z 2025-08-22 journal article López, R. A note on helices in the Euclidean space and in the hyperbolic space. J. Geom. 116, 31 (2025). https://doi.org/10.1007/s00022-025-00771-8 https://hdl.handle.net/10481/106379 10.1007/s00022-025-00771-8 eng http://creativecommons.org/licenses/by/4.0/ open access Atribución 4.0 Internacional Springer