13 citations · 34 across the 8 of their papers we have counts for
9 papers
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. W…
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…
Bergman-Calabi diastasis and Kähler metric of constant holomorphic sectional curvature
Robert Xin Dong, Bun Wong
We prove that for a bounded domain in with the Bergman metric of constant holomorphic sectional curvature being biholomorphic to a ball is equivalent to the hyperconv…
Reduction of manifolds with semi-negative holomorphic sectional curvature
Gordon Heier, Steven S. Y. Lu, Bun Wong +1
In this note, we continue the investigation of a projective Kähler manifold of semi-negative holomorphic sectional curvature . We introduce a new differential geometric nume…
On projective Kähler manifolds of partially positive curvature and rational connectedness
Gordon Heier, Bun Wong
In a previous paper, we proved that a projective Kähler manifold of positive total scalar curvature is uniruled. At the other end of the spectrum, it is a well-known theorem of Cam…
Kähler manifolds of semi-negative holomorphic sectional curvature
Gordon Heier, Steven S. Y. Lu, Bun Wong
In an earlier work, we investigated some consequences of the existence of a Kähler metric of negative holomorphic sectional curvature on a projective manifold. In the present work,…
Scalar curvature and uniruledness on projective manifolds
Gordon Heier, Bun Wong
It is a basic tenet in complex geometry that {\it negative} curvature corresponds, in a suitable sense, to the absence of rational curves on, say, a complex projective manifold, wh…
On the canonical line bundle and negative holomorphic sectional curvature
Gordon Heier, Steven S. Y. Lu, Bun Wong
We prove that a smooth complex projective threefold with a Kähler metric of negative holomorphic sectional curvature has ample canonical line bundle. In dimensions greater than thr…
On a domain in C^2 with generic piecewise smooth Levi-flat boundary and non-compact automorphism group
Siqi Fu, Bun Wong
In this paper, we prove that if D is a simply-connected domain in C^2 with generic piecewise smooth Levi-flat boundary and non-compact automorphism group, then D is biholomorphic t…