https://neckpinch.com/authors/guangrui-zhu/New arXiv papers by Guangrui Zhu, from Neckpinch Tue, 03 Nov 2026 08:41:12 GMT https://neckpinch.com/papers/2504.03316/arxiv:2504.03316Fri, 04 Apr 2025 00:00:00 GMTYukai Sun, Guangrui Zhu — In this paper, we prove that any compact 2-sided smooth stable minimal hypersurface in a shrinking gradient Ricci soliton (Mⁿ,g,f) with scalar curvature R≥(n-1)λ must have vanished second fundamental form and vanished normal Ricci curvature. For shrinking gradient Ricci solitons with scalar curvature R≥(n-1)λ, the existence of an area-minimizing hypersurface would imply that M is splitting.Ricci solitonsScalar curvatureMinimal & CMC surfaces