Solitons of the mean curvature flow in S2 × R López Camino, Rafael Munteanu, Marian Ioan Solitons Mean curvature flow S2 × R One-parameter group A soliton of the mean curvature flow in the product space S2 ×R is a surface whose mean curvature H satisfies the equation H = {N,X}, where N is the unit normal of the surface and X is a Killing vector field of S2 × R. In this paper we consider the cases that X is the vector field tangent to the second factor and the vector field associated to rotations about an axis of S2, respectively. We give a classification of the solitons with respect to these vector fields assuming that the surface is invariant under a one-parameter group of vertical translations or rotations of S2. 2025-07-22T07:37:55Z 2025-07-22T07:37:55Z 2025-03-25 journal article López, R., & Munteanu, M. I. (2025). Solitons of the mean curvature flow in S2×R. Differential Geometry and Its Applications, 99(102243), 102243. https://doi.org/10.1016/j.difgeo.2025.102243 https://hdl.handle.net/10481/105477 10.1016/j.difgeo.2025.102243 eng http://creativecommons.org/licenses/by/4.0/ open access Atribución 4.0 Internacional Elsevier