The Calabi-Yau equation, symplectic forms and almost complex structures
Differential Geometry
2011-07-06 v1 Symplectic Geometry
Abstract
We discuss a conjecture of Donaldson on a version of Yau's Theorem for symplectic forms with compatible almost complex structures and survey some recent progress on this problem. We also speculate on some future possible directions, and use a monotonicity formula for harmonic maps to obtain a new local estimate in the setting of Donaldson's conjecture.
Cite
@article{arxiv.0901.1501,
title = {The Calabi-Yau equation, symplectic forms and almost complex structures},
author = {Valentino Tosatti and Ben Weinkove},
journal= {arXiv preprint arXiv:0901.1501},
year = {2011}
}
Comments
24 pages; submitted to conference proceedings for "Geometric Analysis: Past and Future", Harvard University, August 27-September 1, 2008, in honor of S.-T. Yau