3 papers
math.DG2025
Poincaré-Einstein 4-manifolds with conformally Kähler geometry
Mingyang Li, Hongyi Liu
We study 4-dimensional Poincaré-Einstein manifolds whose conformal class contains a Kähler metric. Such Einstein metrics are non-Kähler and admit a Killing field extending to the c…
math.FA2025
Existence and Spectrality of random measures generated by infinite convolutions
Junjie Miao, Hongyi Liu, Hongbo Zhao
In this paper, we construct a class of random measures by infinite convolutions. Given infinitely many admissible pairs and a p…
math.DG2018
Locally Removable Singularities for Kähler Metrics with Constant Holomorphic Sectional Curvature
Si-en Gong, Hongyi Liu, Bin Xu
Let be an integer, and the unit ball. Let be a compact subset such that is connected, or $K=\{z=(z_1,\cdots…