Monge-Ampere equations and generalized complex geometry. The two-dimensional case

Details Monge-Ampere equations and generalized complex geometry. The two-dimensional case Monge-Ampere equations and generalized complex geometry. The two-dimensional case

2006-03-17

arxiv.org/abs/math/0603432v1

Journal of Geometry and Physics 57 (2007) 841-853

Mathematics

Differential Geometry

Scientific paper

10.1016/j.geomphys.2006.06.005

We associate an integrable generalized complex structure to each
2-dimensional symplectic Monge-Amp\`ere equation of divergent type and, using
the Gualtieri $\bar{\partial}$ operator, we characterize the conservation laws
and the generating function of such equation as generalized holomorphic
objects.

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