Rotational Solitons for the Curve Shortening Flow on Revolution Surfaces
Differential Geometry
2023-10-05 v2
Abstract
We present a characterization for the rotational soliton for the curve shortening flow (CSF) on the revolution surfaces of . Furthermore, we describe the behavior of such curves by showing that the two ends of each open curve are asymptotic to a parallel geodesic.
Cite
@article{arxiv.2204.06678,
title = {Rotational Solitons for the Curve Shortening Flow on Revolution Surfaces},
author = {Hiuri dos Reis and Benedito Leandro and Rafael Novais},
journal= {arXiv preprint arXiv:2204.06678},
year = {2023}
}