23 citations · 24 across the 5 of their papers we have counts for
5 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…
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.
On the uniqueness of Poincaré type cscK metrics
Yulun Xu, Kai Zheng
Let be a compact Kähler manifold with a divisor which may have simple normal crossings. We prove that the -energy is convex on the space of Poincaré type Kähler metrics.…
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 the…
Geodesics in the space of Kähler cone metrics
Simone Calamai, Kai Zheng
In this paper, we study the Dirichlet problem of the geodesic equation in the space of Kähler cone metrics $\mathcal H_\b$; that is equivalent to a homogeneous complex Monge-Ampère…