A rigidity theorem of ancient solutions to the mean curvature flow in codimension one
Differential Geometry
2024-12-13 v1
Abstract
By carrying out a point-wise estimate for the second fundamental form, we prove a rigidity theorem of complete noncompact ancient solutions to the mean curvature flow in codimension one. Moreover, we derive an optimal growth condition.
Keywords
Cite
@article{arxiv.2412.08867,
title = {A rigidity theorem of ancient solutions to the mean curvature flow in codimension one},
author = {Qun Chen and Hongbing Qiu},
journal= {arXiv preprint arXiv:2412.08867},
year = {2024}
}