Open manifolds which are non-realizable as leaves

DOI10.2996/KMJ/1138037003zbMath0571.57022OpenAlexW2000609154MaRDI QIDQ1061391

Toshiyuki Nishimori, Nobuo Tsuchiya, Takashi Inaba, Masashi Takamura

Publication date: 1985

Published in: Kodai Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2996/kmj/1138037003

zbMATH Keywords

end compactificationleaf of a codimension one \(C^ 2\) foliation

Mathematics Subject Classification ID

Foliations in differential topology; geometric theory (57R30)

Related Items (6)

Exotic open 4-manifolds which are nonleaves ⋮ Foliations on the open 3-ball by complete surfaces ⋮ Riemannian manifolds not quasi-isometric to leaves in codimension one foliations ⋮ MANIFOLDS THAT ARE NOT LEAVES OF CODIMENSION ONE FOLIATIONS ⋮ A VIRTUAL LEAF ⋮ Non-leaves of foliated spaces with transversal structure

Cites Work

• The Nishimori decompositions of codimension-one foliations and the Godbillon-Vey classes
• Endsets of leaves
• Codimension one foliations of closed manifolds
• Geometry of leaves
• Ends of leaves of codimension-one foliations
• Reeb stability for noncompact leaves
• Poincare-Bendixson Theory for Leaves of Codimension One
• ISOLATED ENDS OF OPEN LEAVES OF CODIMENSION-ONE FOLIATIONS
• When is a manifold a leaf of some foliation?
• Leaf Prescriptions for Closed 3-Manifolds
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