The surgery of codimension-one foliations

DOI10.2748/tmj/1178229877zbMath0407.57022OpenAlexW1974014658MaRDI QIDQ1258115

Gen-ichi Oshikiri

Publication date: 1979

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178229877

zbMATH Keywords

Foliated CobordismsFoliated SurgerySpinnable StructuresSurgery of Codimension-One Foliations

Mathematics Subject Classification ID

Surgery and handlebodies (57R65) Foliations in differential topology; geometric theory (57R30) Other types of cobordism (57R90)

Related Items (5)

Foliated cobordisms of suspended foliations ⋮ On 2-cycles of B Diff(\(S^1\)) which are represented by foliated \(S^1\)- bundles over \(T^2\) ⋮ On codimension-one foliations of constant mean curvature ⋮ Foliations ⋮ Codimension-one foliations and oriented graphs

Cites Work

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• Foliated cobordisms of S\(^3\) and examples of foliated 4-manifolds
• Foliations and foliated cobordisms of spheres in codimension one
• Round handles and non-singular Morse-Smale flows
• Feuilletage et difféomorphismes infiniment tangents à l'identité
• Existence of codimension-one foliations
• A remark on the foliated cobordisms of codimension-one foliated 3- manifolds
• Foliations on 3-manifolds
• Every odd dimensional homotopy sphere has a foliation of codimension one
• Foliations and spinnable structures on manifolds
• Foliations

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