Approximating \(C^{0}\)-foliations by contact structures

DOI10.1007/S00039-016-0387-2zbMath1362.57037arXiv1509.07709OpenAlexW2203601567MaRDI QIDQ730359

Jonathan Bowden

Publication date: 27 December 2016

Published in: Geometric and Functional Analysis. GAFA (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1509.07709

zbMATH Keywords

foliationcontact structure

Mathematics Subject Classification ID

Foliations (differential geometric aspects) (53C12) Contact manifolds (general theory) (53D10) Foliations in differential topology; geometric theory (57R30)

Related Items (18)

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Cites Work

• Contact structures, deformations and taut foliations
• On the uniqueness of the contact structure approximating a foliation
• Contact perturbations of Reebless foliations are universally tight
• Foliations, orders, representations, L-spaces and graph manifolds
• Tight contact structures on toroidal manifolds and approximation of foliations without Reeb component.
• Approximating \(C^{1,0}\)-foliations
• Codimension one foliations of closed manifolds
• The theory of foliations of codimension greater than one
• On the theorem of Denjoy-Sacksteder for codimension one foliations without holonomy
• Cycles for the dynamical study of foliated manifolds and complex manifolds
• Tight contact structures on fibered hyperbolic 3-manifolds.
• Holomorphic disks and genus bounds
• Topological stability of contact structures in dimension 3
• \(C^0\) approximations of foliations
• Commutator subgroups and foliations without holonomy
• Foliations and the topology of 3-manifolds
• Contact structures on manifolds fibered by circles above a surface
• Leafwise smoothing laminations
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