Exercise 3.6.3 of Garcia and Sotomayor: a devil's staircase of principal foliations

DOI10.1007/s40863-024-00463-2MaRDI QIDQ6656146

John Guckenheimer

Publication date: 2 January 2025

Published in: São Paulo Journal of Mathematical Sciences (Search for Journal in Brave)

zbMATH Keywords

quasiperiodicityembedded surfacescircle homeomorphismsprincipal foliations

Mathematics Subject Classification ID

Nonassociative rings and algebras (17-XX) Associative rings and algebras (16-XX)

Cites Work

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• Sur les courbes définies par les équations différentielles à la surface du tore.
• Sur la conjugaison différentiable des difféomorphismes du cercle à des rotations. (On smooth conjugacy of diffeomorphisms of the circle with rotations)
• Continuation methods for principal foliations of embedded surfaces
• Principal Foliations of Surfaces near Ellipsoids
• Smoothness of conjugacies of diffeomorphisms of the circle with rotations
• Conjugaison différentiable des difféomorphismes du cercle dont le nombre de rotation vérifie une condition diophantienne
• Dense lines of curvature on convex surfaces

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