Geometry of Lagrangian Grassmannians and nonlinear PDEs
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🧮 math.DG
keywords
lagrangiangrassmannianpdesbasiccontainsgeometricgeometrygrassmannians
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This paper contains a thorough introduction to the basic geometric properties of the manifold of Lagrangian subspaces of a linear symplectic space, known as the Lagrangian Grassmannian. It also reviews the important relationship between hypersurfaces in the Lagrangian Grassmannian and second-order PDEs.
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