124 citations · 1.4k across the 62 of their papers we have counts for
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math.DG2016★ 48 cited
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…
math.DG2016
The Aleksandrov-Bakelman-Pucci estimate and the Calabi-Yau equation
Valentino Tosatti, Ben Weinkove
We give two applications of the Aleksandrov-Bakelman-Pucci estimate to the Calabi-Yau equation on symplectic four-manifolds. The first is solvability of the equation on the Kodaira…
math.AP2016★ 35 cited
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.