On the bundle of Weyl structures of a torsion-free AHS geometry, the paper constructs a canonical almost bi-Lagrangian structure whose induced split-signature metric is Einstein, and links its submanifold geometry to a projective Monge-Ampere equation.
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Geometric Theory of Weyl Structures
On the bundle of Weyl structures of a torsion-free AHS geometry, the paper constructs a canonical almost bi-Lagrangian structure whose induced split-signature metric is Einstein, and links its submanifold geometry to a projective Monge-Ampere equation.