124 citations · 1.4k across the 62 of their papers we have counts for
4 papers · 2 filters
The Calabi flow with small initial energy
Valentino Tosatti, Ben Weinkove
We show that on Kahler manifolds M with c_1(M)=0 the Calabi flow converges to a constant scalar curvature metric if the initial Calabi energy is sufficiently small. We prove a simi…
On Donaldson's flow of surfaces in a hyperkahler four-manifold
Jian Song, Ben Weinkove
We prove some basic properties of Donaldson's flow of surfaces in a hyperkahler 4-manifold. When the initial submanifold is symplectic with respect to one Kähler form and Lagrangia…
The Calabi-Yau equation on almost-Kahler four-manifolds
Ben Weinkove
Let (M, ω) be a compact symplectic 4-manifold with a compatible almost complex structure J. The problem of finding a J-compatible symplectic form with prescribed volume form is an…
The Moser-Trudinger inequality on Kahler-Einstein manifolds
D. H. Phong, Jian Song, Jacob Sturm +1
We prove the conjecture of Tian on the strong form of the Moser-Trudinger inequality for Kahler-Einstein manifolds with positive first Chern class, when there are no holomorphic ve…