PreprintarXiv licencearXiv
Immortal Curve Shortening Flow on Analytic Surfaces
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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BibTeX
@misc{hebbar2026immortal,
title = {{Immortal Curve Shortening Flow on Analytic Surfaces}},
author = {Aprameya Girish Hebbar and Guanhua Shao and Qi Sun},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.10197},
eprint = {2609.10197},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.10197},
}
RIS
TY - UNPB
TI - Immortal Curve Shortening Flow on Analytic Surfaces
AU - Aprameya Girish Hebbar
AU - Guanhua Shao
AU - Qi Sun
PY - 2026
DA - 2026/09/09
PB - arXiv
DO - 10.48550/arxiv.2609.10197
UR - https://arxiv.org/abs/2609.10197
AB - 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.
ER -