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Curve Shortening Flows on Rotational Surfaces Generated by Monotone Convex Functions by Fujihara, Naotoshi is a scholarly article available to read on EtoBox.

What is Curve Shortening Flows on Rotational Surfaces Generated by Monotone Convex Functions about?

In this paper, we study curve shortening flows on rotational surfaces in $\mathbb{R}^3$. We assume that the surfaces have negative Gauss curvatures and that some condition related to the Gauss curvature and the curvature of embedded curve holds on them. Under these assumptions, we prove that the curve remains a graph over the parallels of the rotational surface along the flow. Also, we prove the comparison principle and the long-time existence of the flow.

Author

Fujihara, Naotoshi

Published

2022

Language

EN