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arXiv · 2204.06678

Rotational Solitons for the Curve Shortening Flow on Revolution Surfaces

Hiuri dos Reis·Benedito Leandro·Rafael Novais
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Abstract

We present a characterization for the rotational soliton for the curve shortening flow (CSF) on the revolution surfaces of $\mathbb{R}^3$. Furthermore, we describe the behavior of such curves by showing that the two ends of each open curve are asymptotic to a parallel geodesic.

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Hiuri dos Reis, Benedito Leandro, Rafael Novais. 2022-04-14. Rotational Solitons for the Curve Shortening Flow on Revolution Surfaces. https://arxiv.org/abs/2204.06678

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