Symplectic analog of Calabi's conjecture for Calabi--Yau threefolds
arXiv:1203.2665
Abstract
In this paper we state an analog of Calabi's conjecture proved by Yau. The difference with the classical case is that we propose deformation of the complex structure, whereas the complex Monge--Ampère equation describes deformation of the Kähler (symplectic) structure.
4 pages. This is a revised version of "Mirror Kaehler potential on Calabi-Yau threefolds" arXiv:1110.4736