On integrability in Grassmann geometries: integrable systems associated with fourfolds in Gr(3, 5)

Let Gr(d; n) be the Grassmannian of d-dimensional linear subspaces of an n-dimensional vector space V n. A submanifold X Gr(d; n) gives rise to a differential system ⊂(X) that governs d-dimensional submanifolds of V n whose Gaussian image is contained in X. Systems of the form Σ(X) appear in numerou...

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Bibliographic Details

Main Authors:	B. Doubrov, Evgeny Ferapontov, B. Kruglikov, Vladimir Novikov
Format:	Default Article
Published:	2018
Subjects:	Statistics not elsewhere classified Other mathematical sciences not elsewhere classified Dispersionless integrable system Dispersionless lax pair Hydrodynamic reduction Einstein-Weyl geometry Submanifold of the Grassmannian GL(2;R) geometry Statistics Mathematical Sciences not elsewhere classified
Online Access:	https://hdl.handle.net/2134/27833
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