Paraconformal structures, ordinary differential equations and totally geodesic manifolds

DOI10.1016/j.geomphys.2016.01.003zbMath1432.53028arXiv1310.6855OpenAlexW2963756418WikidataQ115353072 ScholiaQ115353072MaRDI QIDQ256372

Wojciech Kryński

Publication date: 9 March 2016

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1310.6855

zbMATH Keywords

invariantsordinary differential equationswebstwistor transform\(GL(2,\mathbb{R})\)-structuresparaconformal structures

Mathematics Subject Classification ID

Geometric methods in ordinary differential equations (34A26) Symmetries, invariants of ordinary differential equations (34C14) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Connections (general theory) (53C05) (G)-structures (53C10) Vector distributions (subbundles of the tangent bundles) (58A30)

Related Items (7)

GL(2)‐geometry and complex structures ⋮ On uniqueness of submaximally symmetric vector ordinary differential equations of C-class ⋮ Deformations of dispersionless Lax systems ^* ⋮ Webs and the Plebański equation ⋮ On deformations of the dispersionless Hirota equation ⋮ Dispersionless integrable hierarchies and GL(2, ℝ) geometry ⋮ The Cayley cubic and differential equations

Cites Work

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• Webs and projective structures on a plane
• Point invariants of third-order ODEs and hyper-CR Einstein-Weyl structures
• Cartan's concept of duality for second-order ordinary differential equations
• A class of Einstein-Weyl spaces associated to an integrable system of hydrodynamic type
• Global stability of special multi-flags
• \(\mathrm{GL}(2,\mathbb R)\) geometry of ODEs
• Paraconformal structures and differential equations
• Comment on \(GL(2, \mathbb R)\) geometry of fourth-order ODEs
• Webs, Veronese curves, and bihamiltonian systems
• On integrability of generalized Veronese curves of distributions
• Geometry of isotypic Kronecker webs
• Vector fields with distributions and invariants of ODEs
• Metrisability of two-dimensional projective structures
• Paraconformal geometry of \(n\)th-order ODEs, and exotic holonomy in dimension four
• Dispersionless integrable systems in 3D and Einstein-Weyl geometry
• Differential equations and conformal structures
• Veronese curves and webs: interpolation
• Einstein–Weyl spaces and third-order differential equations
• Einstein–Weyl geometry, dispersionless Hirota equation and Veronese webs
• Point Classification of Second Order ODEs: Tresse Classification Revisited and Beyond
• Projective structures on moduli spaces of compact complex hypersurfaces
• On integrability in Grassmann geometries: integrable systems associated with fourfolds in Gr(3,5)
• C∞-classification des germes de tissus de Veronese
• Generalized Wilczynski Invariants for Non-Linear Ordinary Differential Equations
• Sur une classe d'espaces de Weyl
• Torsion-free path geometries and integrable second order ODE systems
• Geometric approach to Goursat flags
• Differential geometry from differential equations

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