Compact leaves with Abelian holonomy

DOI10.2748/tmj/1178240992zbMath0324.57019OpenAlexW1994266447MaRDI QIDQ1224812

Toshiyuki Nishimori

Publication date: 1975

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

Full work available at URL: https://doi.org/10.2748/tmj/1178240992

Mathematics Subject Classification ID

Foliations in differential topology; geometric theory (57R30)

Related Items (11)

Foliated vector fields without periodic orbits ⋮ SRH-decompositions of codimension-one foliations and the Godbillon-Vey classes ⋮ On 2-cycles of B Diff(\(S^1\)) which are represented by foliated \(S^1\)- bundles over \(T^2\) ⋮ Foliations ⋮ Non-embeddability of certain classes of Levi flat manifolds ⋮ Behaviour of leaves of codimension-one foliations ⋮ Ends of leaves of codimension-one foliations ⋮ Nonpositive curvature foliations on 3-manifolds with bounded total absolute curvature of leaves ⋮ Topology of codimension-one foliations of nonnegative curvature ⋮ Existence problem of transverse foliations for some foliated 3-manifolds ⋮ The Nishimori decompositions of codimension-one foliations and the Godbillon-Vey classes

Cites Work

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• Sur les courbes definies par les équations différentielles à la surface du tore
• Sur les structures feuilletees de co-dimension un et sur un théorème de M. A. Denjoy
• On the existence of exceptional leaves in foliations of codimension one
• Deformation of homeomorphisms on stratified sets
• Quelques propriétés globales des variétés différentiables
• Note on differential equations on the torus
• On representations of homology classes
• Foliations

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