Dispersionless integrable hierarchies and GL(2, ℝ) geometry

• Published in: Mathematical proceedings of the Cambridge Philosophical Society Vol. 170; no. 1; pp. 129 - 154
• Main Authors: FERAPONTOV, EVGENY, KRUGLIKOV, BORIS
• Format: Journal Article
• Language: English
• Published: Cambridge, UK Cambridge University Press 01.01.2021; Cambridge University Press (CUP)
• Subjects: Context; Dispersion; Geometry; Hierarchies; Integral calculus; Manifolds (mathematics); Matematikk og Naturvitenskap: 400; Matematikk: 410; Mathematical analysis; Mathematics and natural science: 400; Mathematics: 410; VDP; 37K25; 53B05; 53C26; 35Q51; 53A40; 53B50; 37K10; 53C80
• ISSN: 0305-0041; 1469-8064; 1469-8064
• DOI: 10.1017/S0305004119000355

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...