Translating solitons of translation and homothetical types Aydin, Muhittin Evren López Camino, Rafael Mean curvature flow Translating soliton Surfaces of translation Homothetical surface We prove that if a translating soliton can be expressed as the sum of two curves and one of these curves is planar, then the other curve is also planar and consequently the surface must be a plane or a grim reaper. We also investigate translating solitons that can be locally written as the product of two functions of one variable. We extend the results in Lorentz-Minkowski space. 2023-01-18T13:44:25Z 2023-01-18T13:44:25Z 2022-09-20 journal article AYDIN, MUHİTTİN EVREN and LOPEZ, RAFAEL (2022) "Translating solitons of translation and homothetical types," Turkish Journal of Mathematics: Vol. 46: No. 8, Article 13. [https://doi.org/10.55730/1300-0098.3331] https://hdl.handle.net/10481/79107 10.55730/1300-0098.3331 eng http://creativecommons.org/licenses/by/4.0/ open access Atribución 4.0 Internacional TÜBITAK