3 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…
math.CV2025
Uniform estimates for the canonical solution to the -equation on product domains
Robert Xin Dong, Yifei Pan, Yuan Zhang
We obtain uniform estimates for the canonical solution to on the Cartesian product of bounded planar domains with boundaries, when is continuous up to…