Geometric analysis classifies solitons of the mean curvature flow in product spaces, highlighting geometric properties of surfaces invariant under translation and rotation.
A soliton of the mean curvature flow in the product space s² as 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. In this paper we consider the vector field tangent to the fibers and the vector field associated to a 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 under a group of rotations of s².
No takes yet. Share an insight, caveat, or question.
López et al. (2024) studied this question.
Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context: