Answers are grounded in this paper and cite their sources.
Study proves conditions on stable minimal hypersurfaces in Ricci solitons, implying geometric structure.
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.
No takes yet. Share an insight, caveat, or question.
Sun et al. (2026) studied this question.
Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context: