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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 th…
math.DG2024
Classification results for conformally Kähler gravitational instantons
Mingyang Li
We investigate the asymptotic geometry of Hermitian non-Kähler Ricci-flat metrics with finite at infinity. Specifically, we prove: 1. Any such metric is asymptotic to…