Perturbations of compact foliations

DOI10.3792/PJAA.58.341zbMath0531.57024OpenAlexW2035957742MaRDI QIDQ788338

Kazuhiko Fukui

Publication date: 1982

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.58.341

zbMATH Keywords

codimension-two foliationsfoliation of a compact manifold with all leaves compactgeneralized Seifert fibre spaceperturbations of foliationsstability of compact leaves

Mathematics Subject Classification ID

Foliations in differential topology; geometric theory (57R30) Stability theory for smooth dynamical systems (37C75)

Related Items (1)

Codimension two compact Hausdorff foliations by hyperbolic surfaces are not stable

Cites Work

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• The Gauss-Bonnet theorem for \(V\)-manifolds
• Periodic flows on three-manifolds
• Closed Integral Curves in 3-Space and Isotopic Two-Dimensional Deformations
• Foliations with all leaves compact
• Foliations with all leaves compact

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