Taming symplectic forms and the Calabi-Yau equation
Differential Geometry
2008-10-06 v1 Symplectic Geometry
Abstract
We study the Calabi-Yau equation on symplectic manifolds. We show that Donaldson's conjecture on estimates for this equation in terms of a taming symplectic form can be reduced to an integral estimate of a scalar potential function. Under a positive curvature condition, we show that the conjecture holds.
Cite
@article{arxiv.math/0703773,
title = {Taming symplectic forms and the Calabi-Yau equation},
author = {Valentino Tosatti and Ben Weinkove and Shing-Tung Yau},
journal= {arXiv preprint arXiv:math/0703773},
year = {2008}
}
Comments
32 pages