Xiuxiong Chen

activity

20002022

most citedKahler-Einstein metrics on Fano manifolds, III: limits as cone angle approaches 2π and completion of the main proof

71 citations · 772 across the 59 of their papers we have counts for

collaborators

Showing 2018 · math.APShow all

2 papers · 2 filters

math.AP2018★ 1 cited

Geodesic Convexity of Small Neighborhood in the Space of Kähler Potentials

Xiuxiong Chen, Mikhail Feldman, Jingchen Hu

We show that, given $k > 4$ , $0 < J < min {\frac{1}{4}, \frac{k - 4}{4}}$ , any point in space of non-degenerate smooth Kähler potentials has a small neighborhood with respect to $C^{k}$ norm…

math.AP2018

A class of fully nonlinear equations

Xiuxiong Chen, Weiyong He

In this paper we consider a class of fully nonlinear equations which cover the equation introduced by S. Donaldson a decade ago and the equation introduced by Gursky-Streets recent…