Dispersionless integrable hierarchies and GL(2, R) geometry

Paraconformal or GL(2, R) geometry on an n-dimensional manifold M is defined by a field of rational normal curves of degree n − 1 in the projectivised cotangent bundle PT∗M. Such geometry is known to arise on solution spaces of ODEs with vanishing Wünschmann (Doubrov-Wilczynski) invariants. In this...

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Bibliographic Details
Main Authors: Evgeny Ferapontov, Boris Kruglikov
Format: Default Article
Published: 2019
Subjects:
GL(2, R) geometry
Dispersionless integrable hierarchy
Characteristic variety
Compatible affine connection
Lax representation
Online Access:https://hdl.handle.net/2134/9746702.v1
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