Zhu Ye

activity

20222025

most citedMaximal first Betti number rigidity of noncompact

RCD (0, N)

spaces

1 citations · 1 across the 5 of their papers we have counts for

collaborators

5 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…

math.DG2023★ 1 cited

Maximal first Betti number rigidity of noncompact $RCD (0, N)$ spaces

Zhu Ye

Let $(M, d, m)$ be a noncompact $RCD (0, N)$ space with $N \in N_{+}$ and $supp m = M$ . We prove that if the first Betti number of $M$ equals $N…

math.DG2022

Maximal first Betti number rigidity for open manifolds of nonnegative Ricci curvature

Zhu Ye

Let $M$ be an open Riemannian $n$ -manifold with nonnegative Ricci curvature. We prove that if the first Betti number of $M$ equals $n - 1$ , then $M$ is flat.

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

Maximal first Betti number rigidity of noncompact RCD(0,N) spaces

Maximal first Betti number rigidity for open manifolds of nonnegative Ricci curvature

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

Maximal first Betti number rigidity of noncompact $RCD (0, N)$ spaces