Integrable systems in four dimensions associated with six-folds in Gr(4, 6)

Let Gr(d, n) be the Grassmannian of d-dimensional linear subspaces of an n-dimensional vector space V . A submanifold X ⇢ Gr(d, n) gives rise to a di↵erential system ⌃(X) that governs d-dimensional submanifolds of V whose Gaussian image is contained in X. We investigate a special case of this constr...

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Bibliographic Details

Main Authors:	B. Doubrov, Evgeny Ferapontov, B. Kruglikov, Vladimir Novikov
Format:	Default Article
Published:	2018
Subjects:	Other mathematical sciences not elsewhere classified Submanifold of the Grassmannian Dispersionless integrable system Hydrodynamic reduction Self-dual conformal structure Monge-Ampere system Dispersionless lax pair Linear degeneracy Mathematical Sciences not elsewhere classified
Online Access:	https://hdl.handle.net/2134/27771
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