24 citations · 51 across the 7 of their papers we have counts for
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Complex solutions of Monge-Ampère equations
Bertrand Banos
We describe a method to reduce partial differential equations of Monge-Ampère type in 4 variables to complex partial differential equations in 2 variables. To illustrate this metho…
Integrable geometries and Monge-Ampere equations
Bertrand Banos
In this lecture delivered at the Integrable and Quantum Field Theory at Peyresq sixth meeting, we review the Lychagin's Monge-Ampere operators theory and exhibit the link it establ…
Monge-Ampere equations and generalized complex geometry. The two-dimensional case
Bertrand Banos
We associate an integrable generalized complex structure to each 2-dimensional symplectic Monge-Ampère equation of divergent type and, using the Gualtieri operator…
Potentials for hyper-Kahler metrics with torsion
Bertrand Banos, Andrew Swann
We prove that locally any hyper-Kähler metric with torsion admits an HKT potential.
Nondegenerate Monge-Ampere structures in dimension 6
Bertrand Banos
We define a nondegenerate Monge-Ampère structure on a 6-dimensional manifold as a pair , such that is a symplectic form and is a 3-differential form which satisfies…