https://neckpinch.com/authors/zetian-yan/New arXiv papers by Zetian Yan, from Neckpinch Tue, 03 Nov 2026 08:41:12 GMT https://neckpinch.com/papers/2212.04367/arxiv:2212.04367Wed, 28 Sep 2022 00:00:00 GMTPak Tung Ho, Jinwoo Shin, Zetian Yan — The weighted Yamabe flow was the geometric flow introduced to study the weighted Yamabe problem on smooth metric measure spaces. Carlotto, Chodosh and Rubinstein have studied the convergence rate of the Yamabe flow. Inspired by their result, we study in this paper the convergence rate of the weighted Yamabe flow.Yamabe flowLimit spaces & RCD https://neckpinch.com/papers/2111.05945/arxiv:2111.05945Wed, 10 Nov 2021 00:00:00 GMTZetian Yan — We introduce the weighted Yamabe flow ∂g/∂t=(r^m_φ−R^m_φ)g, ∂φ/∂t=m/2(R^m_φ−r^m_φ) on a smooth metric measure space (Mⁿ, g, e^(−φ)rm dvol_g, m), where R^m_φ denotes the associated weighted scalar curvature, and r^m_φ denotes the mean value of the weighted scalar curvature. We prove long-time existence and convergence of the weighted Yamabe flow if the dimension n satisfies ngeqslant 3.Yamabe flowScalar curvatureLimit spaces & RCDLong-time existence & convergence