Chains of path geometries on surfaces: theory and examples

DOI10.1007/S11856-024-2633-XMaRDI QIDQ6635141

Gil Bor, Travis Willse

Publication date: 9 November 2024

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

chainspath geometrypara-CR structureFefferman construction

Mathematics Subject Classification ID

General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Sub-Riemannian geometry (53C17) Conformal structures on manifolds (53C18)

Cites Work

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• The chains of left-invariant Cauchy-Riemann structures on \(SU(2)\)
• An intrinsic construction of Fefferman's CR metric
• Real hypersurfaces in complex manifolds
• Monge-Ampère equations, the Bergman kernel, and geometry of pseudoconvex domains
• Pseudo-hermitian structures on a real hypersurface
• Distinguished curves in pseudo-convex boundaries
• Sur la géométrie pseudo-conforme des hypersurfaces de l'espace de deux variables complexes
• The general geometry of paths.
• Sur les variétés à connexion projective.
• Détermination des invariants ponctuels de l'équation différentielle ordinaire du second ordre \(y = \omega (x,y,y')\).
• Left-invariant CR structures on 3-dimensional Lie groups
• On the geometry of chains
• Chains in CR geometry as geodesics of a Kropina metric
• Point Classification of Second Order ODEs: Tresse Classification Revisited and Beyond
• The Fefferman Metric and Pseudohermitian Invariants
• Three-dimensional Cauchy–Riemann structures and second-order ordinary differential equations
• On bicircular quartics.
• Revisiting Kepler: new symmetries of an old problem

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