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math.AP2018★ 2 cited
An Obstacle for Higher Regularity of Geodesics in the Space of Kähler Potentials
Jingchen Hu
In this paper we address the following question regarding the regularity of geodesics in the space of Kähler potentials. Given a geodesic which is highly regular, and has smooth bo…
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 , , any point in space of non-degenerate smooth Kähler potentials has a small neighborhood with respect to norm…