On foliations with Morse singularities

DOI10.1090/S0002-9939-08-09371-4zbMath1152.57028arXivmath/0611395OpenAlexW1971999621MaRDI QIDQ3532534

César Camacho, Bruno C. Azevedo Scárdua

Publication date: 28 October 2008

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0611395

zbMATH Keywords

foliationholonomyMorse singularityReeb stability theoremMorse foliation

Mathematics Subject Classification ID

Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Singularities of differentiable mappings in differential topology (57R45) Foliations in differential topology; geometric theory (57R30) Critical points and critical submanifolds in differential topology (57R70)

Related Items (5)

Morse foliations of codimension one on the sphere $S^{3}$ ⋮ Codimension one foliations with coupling of saddle singularities ⋮ A classification of configuration spaces of planar robot arms for a continuous inverse kinematics problem ⋮ A complete stability theorem for foliations with singularities ⋮ On smooth deformations of foliations with singularities

Cites Work

• On codimension one foliations with Morse singularities on three-manifolds
• Formes de Pfaff à singularités non dégénérées
• Morse Theory. (AM-51)
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