most citedVolume growth and positive scalar curvature

3 citations · 3 across the 3 of their papers we have counts for

collaborators

4 papers

math.DG2026

Curvature integral on convex hypersurfaces

Qixuan Hu, Shuai Zhang

Let , , be the smooth, connected, complete, noncompact boundary of a closed convex set with nonempty interior in . We prove that its normalized scalar…

math.DG2026

Integrals and Rigidity on Manifolds with Nonnegative Ricci Curvature

Zixuan Chen, Guoyi Xu, Shuai Zhang

We prove the general sharp mean value inequality for non-negative superharmonic functions and its corresponding rigidity, which removes the radius restriction of Schoen-Yau's class…

math.DG2024

The sharp diameter bound of stable minimal surfaces

Qixuan Hu, Guoyi Xu, Shuai Zhang

For three dimensional complete Riemannian manifolds with scalar curvature no less than one, we obtain the sharp upper bound of complete stable minimal surfaces' diameter.

math.DG2024★ 3 cited

Volume growth and positive scalar curvature

Guodong Wei, Guoyi Xu, Shuai Zhang

For three dimensional complete, non-compact Riemannian manifolds with non-negative Ricci curvature and uniformly positive scalar curvature, we obtain the sharp linear volume growth…