Jiayin Pan

activity

20182024

most citedThe Fundamental Groups of Open Manifolds with Nonnegative Ricci Curvature

1 citations · 1 across the 2 of their papers we have counts for

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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.DG2021

Some topological results of Ricci limit spaces

Jiayin Pan, Jikang Wang

We study the topology of a Ricci limit space $(X, p)$ , which is the Gromov-Hausdorff limit of a sequence of complete $n$ -manifolds $(M_{i}, p_{i})$ with $Ric \geq - (n - 1)$ . Our fi…

math.DG2020★ 1 cited

The Fundamental Groups of Open Manifolds with Nonnegative Ricci Curvature

Jiayin Pan

We survey the results on fundamental groups of open manifolds with nonnegative Ricci curvature. We also present some open questions on this topic.

math.DG2018

Ricci curvature and isometric actions with scaling nonvanishing property

Jiayin Pan, Xiaochun Rong

In the study manifolds of Ricci curvature bounded below, a stumbling obstruction is the lack of links between large-scale geometry and small-scale geometry at a fixed reference poi…