Weixiong Mai — Neckpinchhttps://neckpinch.com/authors/weixiong-mai/New arXiv papers by Weixiong Mai, from Neckpinch Tue, 03 Nov 2026 08:41:12 GMT Liouville Theorem on Ricci shrinkers with constant scalar curvature and its applicationhttps://neckpinch.com/papers/2208.07101/arxiv:2208.07101Mon, 15 Aug 2022 00:00:00 GMTWeixiong Mai, Jianyu Ou — In this paper we consider harmonic functions on gradient shrinking Ricci solitons with constant scalar curvature. A Liouville theorem is proved without using gradient estimate : any bounded harmonic function is constant on gradient shrinking Ricci solitons with constant scalar curvature. As an application, we show that the space of harmonic functions with polynomial growth has finite dimension.Ricci solitonsScalar curvature