Monge-Ampere equations and generalized complex geometry. The two-dimensional case
arXiv:math/0603432 · doi:10.1016/j.geomphys.2006.06.005
Abstract
We associate an integrable generalized complex structure to each 2-dimensional symplectic Monge-Ampère 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.