3 papers
math.DG2026
Positive scalar curvature Kähler metrics and shifted -stability
Zehao Sha
In this paper, we show that the quantitative data underlying -stability, originally developed in the study of canonical metrics, also detect the existence of positive scalar cur…
math.DG2025
Rigidity of complete Kähler-Einstein metrics under cscK perturbations
Zehao Sha
In this paper, we study constant scalar curvature Kähler (cscK) metrics on complete non-compact Kähler--Einstein manifolds. We give sufficient conditions under which a cscK perturb…
math.CV2024
The Kähler-Ricci soliton on bounded pseudoconvex domains
Zehao Sha
In this paper, we study Kähler-Ricci solitons on bounded pseudoconvex domains in with boundary. Under suitable assumptions, we prove that such solitons must be…