1-formes fermées singulières et groupe fondamental

DOI10.1007/BF01391835zbMath0594.57014MaRDI QIDQ1077016

Gilbert Levitt

Publication date: 1987

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/143470

zbMATH Keywords

fundamental groupnilpotentpolycycliccomplete cohomology classesfoliations defined by closed differential 1-forms with Morse singularitiesirreducible 3- manifoldsleaf spacenonexact formweakly complete forms

Mathematics Subject Classification ID

de Rham theory in global analysis (58A12) Differential forms in global analysis (58A10) Foliations in differential topology; geometric theory (57R30)

Related Items

Pseudogroups of isometries of \(\mathbb{R}\) and Rips' theorem on free actions on \(\mathbb{R}\)-trees, Obstructions to the existence of monotone Lagrangian embeddings into cotangent bundles of manifolds fibered over the circle, Properties of Morse forms that determine compact foliations on \(M_g^2\), Dynamics on free-by-cyclic groups, Floer-Novikov homology and applications to Lagrangian submanifolds, Ranks of collinear Morse forms, On the cost of generating an equivalence relation, Sufficient conditions for the compactifiability of~a~closed~one-form~foliation, Independent generators for one-dimensional systems of isometries, Cohomological estimates for cat\((X,\xi )\), Compact and locally dense leaves of a closed one-form foliation, Singular foliations for M-theory compactification, Structure of a Morse form foliation on a closed surface in terms of genus, On the structure of a Morse form foliation, Constructing free actions on \(\mathbf R\)-trees, Ends of a group acting on the right hand. II: Applications to the topology of foliations, Close cohomologous Morse forms with compact leaves, Formes fermées non singulières et propriétés de finitude des groupes, Dynamics for rotation pseudogroups, The co-rank of the fundamental group: The direct product, the first Betti number, and the topology of foliations

Cites Work

• On codimension one foliations defined by closed one forms with singularities
• Sur l'unique ergodicité des 1-formes fermées singulières. (Unique ergodicity of closed singular 1-forms)
• Isotopie de formes fermées en dimension trois
• Structure of codimension 1 foliations without holonomy on manifolds with Abelian fundamental group
• Sur l'isotopie des formes fermées en dimension 3
• Foliations by planes
• On the Volume Elements on a Manifold
• Unnamed Item
• Unnamed Item
• Unnamed Item