Monge-Ampere equations and generalized complex geometry. The two-dimensional case
Differential Geometry
2009-11-11 v1
Abstract
We associate an integrable generalized complex structure to each 2-dimensional symplectic Monge-Amp\`ere equation of divergent type and, using the Gualtieri operator, we characterize the conservation laws and the generating function of such equation as generalized holomorphic objects.
Cite
@article{arxiv.math/0603432,
title = {Monge-Ampere equations and generalized complex geometry. The two-dimensional case},
author = {Bertrand Banos},
journal= {arXiv preprint arXiv:math/0603432},
year = {2009}
}