The Godbillon-Vey Invariant of a Transversely Homogeneous Foliation

DOI10.2307/1999813zbMath0548.57016OpenAlexW4237182921MaRDI QIDQ3339791

Robert Brooks, William M. Goldman

Publication date: 1984

Full work available at URL: https://doi.org/10.2307/1999813

zbMATH Keywords

bounded cohomologyreal projective linepresentation of the fundamental grouprigidity of characteristic classes of foliationsGodbillon-Vey invariant of transversely homogeneous foliations

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Foliations (differential geometric aspects) (53C12) Foliations in differential topology; geometric theory (57R30)

Related Items (12)

Positive simplicial volume implies virtually positive Seifert volume for 3-manifolds ⋮ Classes caractéristiques de \(\Gamma\) (G,H)-structures et finitude de leur evaluation. (Characteristic classes of \(\Gamma\) (G,H)-structures and finiteness of their evaluation) ⋮ Godbillon-Vey invariants of Non-Lorentzian spacetimes and Aristotelian hydrodynamics ⋮ Volume of Seifert representations for graph manifolds and their finite covers ⋮ Some qualitative aspects of transversely projective foliations ⋮ Local rigidity of aspherical three-manifolds ⋮ Characteristic Classes of Transversely Homogeneous Foliations ⋮ Volume of representations and mapping degree ⋮ The dilogarithm as a characteristic class for flat bundles ⋮ Finiteness of mapping degrees and \(\text{PSL}(2,R\mathbf)\)-volume on graph manifolds ⋮ Volumes of discrete groups and topological complexity of homology spheres ⋮ Volumes in Seifert space

Cites Work

• Unnamed Item
• Unnamed Item
• The space of loops on a Lie group
• Volumes in Seifert space
• Volume and bounded cohomology
• Volumes and characteristic classes of foliations
• Foliated bundles, invariant measures and flat manifolds
• Simplicial De Rham cohomology and characteristic classes of flat bundles
• A generalization of Milnor's inequality concerning affine foliations and affine manifolds
• Transversely homogeneous foliations
• Secondary invariants of transversely homogeneous foliations
• On the existence of a connection with curvature zero
• Three dimensional manifolds, Kleinian groups and hyperbolic geometry
• Foliations and groups of diffeomorphisms
• Cohomology Theory of Lie Groups and Lie Algebras
• Foliations

This page was built for publication: The Godbillon-Vey Invariant of a Transversely Homogeneous Foliation