Zhu Ye

collaborators

3 papers

math.DG2025

Volume growth and asymptotic cones of manifolds with nonnegative Ricci curvature

Zhu Ye

Let $M$ be an open (i.e. complete and noncompact) manifold with nonnegative Ricci curvature. In this paper, we study whether the volume growth order of $M$ is always greater than o…

math.DG2024

On manifolds with nonnegative Ricci curvature and the infimum of volume growth order $< 2$

Zhu Ye

We prove two rigidity theorems for open (complete and noncompact) $n$ -manifolds $M$ with nonnegative Ricci curvature and the infimum of volume growth order $< 2$ . The first theorem…

math.DG2024

Nonnegative Ricci curvature, splitting at infinity, and first Betti number rigidity

Jiayin Pan, Zhu Ye

We study the rigidity problems for open (complete and noncompact) $n$ -manifolds with nonnegative Ricci curvature. We prove that if an asymptotic cone of $M$ properly contains a Euc…

Volume growth and asymptotic cones of manifolds with nonnegative Ricci curvature

On manifolds with nonnegative Ricci curvature and the infimum of volume growth order <2

Nonnegative Ricci curvature, splitting at infinity, and first Betti number rigidity

On manifolds with nonnegative Ricci curvature and the infimum of volume growth order $< 2$