Local equivalence problem for a second order complete scalar system of partial differencial equations with \(n\) independent variables

DOI10.5802/afst.1136zbMath1142.58003OpenAlexW2327328141MaRDI QIDQ2475499

Camille Bièche

Publication date: 11 March 2008

Published in: Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AFST_2007_6_16_1_1_0

zbMATH Keywords

equivalence methodCR geometryprojective connection

Mathematics Subject Classification ID

Nonlinear higher-order PDEs (35G20) Exterior differential systems (Cartan theory) (58A15)

Related Items

Vanishing Hachtroudi curvature and local equivalence to the Heisenberg pseudosphere ⋮ Homogeneous CR and Para-CR structures in dimensions 5 and 3

Cites Work

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• Segre families and real hypersurfaces
• Real hypersurfaces in complex manifolds
• Pseudo-hermitian structures on a real hypersurface
• CR maps and point Lie transformations
• Regularity of continuous CR maps in arbitrary dimension.
• The geometry of the equation \(y'=f(x,y,y',y)\)
• Construction of the normal form of the equation of a surface of high codimension
• Classification of Second-Order Ordinary Differential Equations Admitting Lie Groups of Fibre-Preserving Point Symmetries
• On the projective structure of a real hypersurface in $\mathsf{C}_{n+1}$.
• The Equivalence Problem for Systems of Second-Order Ordinary Differential Equations
• Segre varieties and Lie symmetries