On codimension one foliations defined by closed one forms with singularities

DOI10.1215/kjm/1250522432zbMath0417.57010OpenAlexW1535776425MaRDI QIDQ755239

Hideki Imanishi

Publication date: 1979

Published in: Journal of Mathematics of Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/kjm/1250522432

zbMATH Keywords

closed 1-forms with isolated singularitieslocally dense leaf

Mathematics Subject Classification ID

Differential forms in global analysis (58A10) Foliations in differential topology; geometric theory (57R30)

Related Items (23)

1-formes fermées singulières et groupe fondamental ⋮ Pseudogroups of isometries of \(\mathbb{R}\) and Rips' theorem on free actions on \(\mathbb{R}\)-trees ⋮ Minimality of interval exchange transformations with restrictions ⋮ Ergodicity of foliations with singularities ⋮ The number of minimal components and homologically independent compact leaves of a weakly generic Morse form on a closed surface ⋮ The boundary of the outer space of a free product ⋮ A commutator lemma for confined subgroups and applications to groups acting on rooted trees ⋮ Ranks of collinear Morse forms ⋮ Solvable groups of interval exchange transformations ⋮ Sufficient conditions for the compactifiability of~a~closed~one-form~foliation ⋮ Independent generators for one-dimensional systems of isometries ⋮ Compact and locally dense leaves of a closed one-form foliation ⋮ Singular foliations for M-theory compactification ⋮ Actions of finitely generated groups on \(\mathbb{R}\)-trees. ⋮ Structure of a Morse form foliation on a closed surface in terms of genus ⋮ Symmetric band complexes of thin type and chaotic sections which are not quite chaotic ⋮ On the structure of a Morse form foliation ⋮ The convexity package for Hamiltonian actions on conformal symplectic manifolds ⋮ Groups of interval exchange transformations ⋮ Sur l'unique ergodicité des 1-formes fermées singulières. (Unique ergodicity of closed singular 1-forms) ⋮ Dynamics for rotation pseudogroups ⋮ The co-rank of the fundamental group: The direct product, the first Betti number, and the topology of foliations ⋮ On automorphisms and splittings of special groups

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