4 papers
math.DG2025
Hermitian-Einstein Metrics on Parabolic Bundles over compact complex surfaces
Xilun Li, Gang Tian
We prove the Kobayashi-Hitchin correspondence for parabolic bundles over compact nonKähler surfaces with simple normal crossing divisor or compact nonKähler manifolds of any dimens…
math.DG2024
On the shrinking solitons of generalized Ricci flow
Xilun Li, Yanan Ye
We show that every gradient shrinking soliton of the generalized Ricci flow on compact manifold is a Ricci soliton. And we prove that the pluriclosed soliton is gradient Kahler-Ric…
math.DG2024
New exotic examples of Ricci limit spaces
Xilun Li, Shengxuan Zhou
For any integers , we construct a Ricci limit space such that for a fixed point, some tangent cones are and some are $\mathbb{R}^n…
math.DG2022
Nash Entropy and Heat Kernel on Generalized Ricci Flow
Xilun Li
We introduce analogous geometric quantities and prove some geometric and analytic bounds in [Bam20a] to generalized Ricci flow.