4 papers
The space of closed -structures. II. concavity and hypersymplectic structures
Kai Zheng
In the space of closed -structures equipped with Bryant's Dirichlet-type metric, we continue to utilise the geodesic, constructed in our previous article, to show that, under…
The uniqueness of Poincaré type constant scalar curvature Kähler metric
Yulun Xu, Kai Zheng
Let be a smooth divisor on a closed Kähler manifold . First, we prove that Poincaré type constant scalar curvature Kähler (cscK) metric with a singularity at is uniqu…
Estimates for complex singular Monge-Ampère equations via integral method
Yunqing Wu, Kai Zheng
In this paper, we obtain gradient estimates and Laplacian estimates for the solution to the singular complex Monge-Ampère equation by applying the integral method.
Calabi flow with bounded scalar curvature
Haozhao Li, Linwei Zhang, Kai Zheng
In this paper, we show that the Calabi flow can be extended as long as the scalar curvature is uniformly bounded for some , and on a compact extremal Kähler manifold th…