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arXiv · 2609.10197

Immortal Curve Shortening Flow on Analytic Surfaces

Aprameya Girish Hebbar·Guanhua Shao·Qi Sun
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Abstract

We show that on any closed orientable real-analytic Riemannian surface, any smoothly immersed closed immortal curve-shortening flow converges to a unique non-constant closed geodesic.

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Aprameya Girish Hebbar, Guanhua Shao, Qi Sun. 2026-09-09. Immortal Curve Shortening Flow on Analytic Surfaces. https://arxiv.org/abs/2609.10197

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