Jiayin Pan

activity

20172024

most citedExamples of Ricci limit spaces with non-integer Hausdorff dimension

18 citations · 92 across the 14 of their papers we have counts for

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math.DG2021★ 18 cited

Examples of Ricci limit spaces with non-integer Hausdorff dimension

Jiayin Pan, Guofang Wei

We give the first examples of collapsing Ricci limit spaces on which the Hausdorff dimension of the singular set exceeds that of the regular set; moreover, the Hausdorff dimension…

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…