48 citations · 178 across the 30 of their papers we have counts for
4 papers · 1 filter
On the regularity of geodesics in the space of Kähler metrics
Jianchun Chu, Valentino Tosatti, Ben Weinkove
We prove that any two Kahler potentials on a compact Kahler manifold can be connected by a geodesic segment of C^{1,1} regularity. This follows from an a priori interior real Hessi…
Quantitative stratification of -subharmonic functions
Jianchun Chu
In this paper, we study the singular sets of -subharmonic functions , where is a subequation. The singular set $\mathcal{S}(u)\subset B…
The parabolic Monge-Ampère equation on compact almost Hermitian manifolds
Jianchun Chu
We prove the long time existence and uniqueness of solutions to the parabolic Monge-Ampère equation on compact almost Hermitian manifolds. We also show that the normalization of so…
The Monge-Ampère equation for non-integrable almost complex structures
Jianchun Chu, Valentino Tosatti, Ben Weinkove
We show existence and uniqueness of solutions to the Monge-Ampere equation on compact almost complex manifolds with non-integrable almost complex structure.