The Nishimori decompositions of codimension-one foliations and the Godbillon-Vey classes

DOI10.2748/tmj/1178229198zbMath0514.57007OpenAlexW1980667034MaRDI QIDQ1051313

Nobuo Tsuchiya

Publication date: 1982

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

Full work available at URL: https://doi.org/10.2748/tmj/1178229198

zbMATH Keywords

Godbillon-Vey classesNishimori decompositions of codimension-one foliations

Mathematics Subject Classification ID

Characteristic classes and numbers in differential topology (57R20) Foliations in differential topology; geometric theory (57R30)

Related Items (4)

Dynamics and the Godbillon-Vey class of \(C^1\) foliations ⋮ Analytic foliations and the theory of levels ⋮ Open manifolds which are non-realizable as leaves ⋮ The dynamics of open, foliated manifolds and a vanishing theorem for the Godbillon-Vey class

Cites Work

• SRH-decompositions of codimension-one foliations and the Godbillon-Vey classes
• Codimension one foliations of closed manifolds
• The Godbillon-Vey class of codimension one foliations without holonomy
• Leaves with non-exact polynomial growth
• The Godbillon-Vey classes of codimension one foliations which are almost without holonomy
• Smoothing fractional growth
• On the theorem of Denjoy-Sacksteder for codimension one foliations without holonomy
• Foliations with measure preserving holonomy
• Compact leaves with Abelian holonomy
• Structure of codimension one foliations which are almost without holonomy
• The Gauss-Bonnet theorem and the Atiyah-Patodi-Singer functionals for the characteristic classes of foliations
• Behaviour of leaves of codimension-one foliations
• Growth of leaves
• Leaves whose growth is neither exponential nor polynomial
• Reeb stability for noncompact leaves
• Asymptotic properties of foliations
• Poincare-Bendixson Theory for Leaves of Codimension One
• Nonexponential Leaves at Finite Level
• ISOLATED ENDS OF OPEN LEAVES OF CODIMENSION-ONE FOLIATIONS
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: The Nishimori decompositions of codimension-one foliations and the Godbillon-Vey classes