Guangrui Zhu

collaborators

3 papers

math.DG2026

A Llarull type theorem on complete non-compact manifolds

Guangrui Zhu

Let $3 \leq n \leq 7$ , $2 \leq k \leq n - 1$ , and $m = n - k - 1$ . We prove that a complete, connected, noncompact spin manifold $(M^{n}, g)$ with scalar curvature $R_{M} \geq k (k - 1)$ is isometric to…

math.DG2025

A Weighted Llarull Type Theorem and its applications

Linfeng Zhou, Guangrui Zhu

This paper generalizes Llarull's classical scalar curvature rigidity theorem to the setting of weighted manifolds with P-scalar curvature. More precisely, we prove the refinement o…

math.DG2025

Remarks on minimal hypersurfaces in shrinking gradient Ricci solitons

Yukai Sun, Guangrui Zhu

In this paper, we prove that any compact 2-sided smooth stable minimal hypersurface in a shrinking gradient Ricci soliton $(M^{n}, g, f)$ with scalar curvature $R \geq (n - 1) λ$ must hav…