2 papers
math.CV2026
Local Rigidity of the Bergman Metric and of the Kähler Carathéodory Metric
Robert Xin Dong, Ruoyi Wang, Bun Wong
We prove that if the Carathéodory metric on a strictly pseudoconvex domain with a smooth boundary is locally Kähler near the boundary, then the domain is biholomorphic to a ball.…
math.CV2025
Bergman representative coordinate, constant holomorphic curvature and a multidimensional generalization of Carathéodory's theorem
Robert Xin Dong, Bun Wong
By using the Bergman representative coordinate and Calabi's diastasis, we extend a theorem of Lu to bounded pseudoconvex domains whose Bergman metric is incomplete with constant ho…