Convergence of the fractional Yamabe flow for arbitrary initial energy
Analysis of PDEs
2025-07-31 v1
Abstract
Since the seminal paper of Graham and Zworski (Invent. Math. 2003), conformal geometric problems are studied in the fractional setting. We consider the convergence of fractional Yamabe flow, which is previously known under small initial energy assumption. Inspired by the deep work of Brendle (J. Diff. Geom. 2005), we obtain the full convergence result for arbitrary initial energy, whenever the (fractional) positive mass conjecture is valid.
Keywords
Cite
@article{arxiv.2507.22183,
title = {Convergence of the fractional Yamabe flow for arbitrary initial energy},
author = {Jingeon An and Hardy Chan and Pak Tung Ho},
journal= {arXiv preprint arXiv:2507.22183},
year = {2025}
}
Comments
42 pages