https://neckpinch.com/authors/run-qiang-jian/New arXiv papers by Run-Qiang Jian, from Neckpinch Tue, 03 Nov 2026 08:41:12 GMT https://neckpinch.com/papers/2404.08546/arxiv:2404.08546Fri, 12 Apr 2024 00:00:00 GMTRun-Qiang Jian, Zhu-Hong Zhang — We establish three circles theorems for subharmonic functions on Riemannian manifolds with nonnegative Ricci curvature, as well as on gradient shrinking Ricci solitons with scalar curvature bounded from below by (n-2)/2. We also establish a three circiles theorem for holomorphic functions on gradient shrinking Kähler-Ricci solitons with some curvature conditions. As applications, we prove some Liouville type theorems.Ricci solitonsKähler–Ricci solitonsKähler geometryScalar curvature