@misc{10481/105477,
year = {2025},
month = {3},
url = {https://hdl.handle.net/10481/105477},
abstract = {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.},
organization = {MICINN/FEDER grant no. PID2023-150727NB-I00},
organization = {MCINN y “María de Maeztu” Excellence Unit IMAG (CEX2020-001105-M)},
organization = {RDI excellence funding projects, Contract no. 11PFE/30.12.202},
publisher = {Elsevier},
keywords = {Solitons},
keywords = {Mean curvature flow},
keywords = {S2 × R},
keywords = {One-parameter group},
title = {Solitons of the mean curvature flow in S2 × R},
doi = {10.1016/j.difgeo.2025.102243},
author = {López Camino, Rafael and Munteanu, Marian Ioan},
}