Paraconformal structures and differential equations

DOI10.1016/j.difgeo.2010.05.003zbMath1339.53027OpenAlexW1988379021WikidataQ115357076 ScholiaQ115357076MaRDI QIDQ988744

Wojciech Kryński

Publication date: 18 August 2010

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.difgeo.2010.05.003

zbMATH Keywords

differential equationcontact distributionparaconformal structureWünschmann condition

Mathematics Subject Classification ID

Geometric methods in ordinary differential equations (34A26) (G)-structures (53C10) Vector distributions (subbundles of the tangent bundles) (58A30) Other special differential geometries (53A40)

Related Items (7)

GL(2)‐geometry and complex structures ⋮ On the Einstein-Weyl and conformal self-duality equations ⋮ Geometry of isotypic Kronecker webs ⋮ Parabolic stable surfaces with constant mean curvature ⋮ Point invariants of third-order ODEs and hyper-CR Einstein-Weyl structures ⋮ Co-calibrated \(G_2\) structure from cuspidal cubics ⋮ Paraconformal structures, ordinary differential equations and totally geodesic manifolds

Cites Work

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• Nilpotent bases for a class of nonintegrable distributions with applications to trajectory generation for nonholonomic systems
• Equivalence of holonomic differential equations
• Geometrization of jet bundles
• Paraconformal geometry of \(n\)th-order ODEs, and exotic holonomy in dimension four
• Differential equations and conformal structures
• Differential geometry from differential equations
• Contact systems and corank one involutive subdistributions

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