A vanishing theorem for the tangential de Rham cohomology of a foliation with amenable fundamental groupoid

DOI10.1023/B:GEOM.0000013865.22152.0czbMath1049.57017OpenAlexW1990911452MaRDI QIDQ1430027

Kevin Corlette, Alessandra Iozzi, Luis Hernández-Lamoneda

Publication date: 27 May 2004

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/b:geom.0000013865.22152.0c

zbMATH Keywords

foliationde Rham cohomologycurvaturerankfundamental groupoidamenable groupoid

Mathematics Subject Classification ID

General groups of measure-preserving transformations (28D15) Discrete subgroups of Lie groups (22E40) Dynamics induced by group actions other than (mathbb{Z}) and (mathbb{R}), and (mathbb{C}) (37C85) Foliations in differential topology; geometric theory (57R30) Variational aspects of group actions in infinite-dimensional spaces (58E40)

Related Items (3)

Central extensions and bounded cohomology ⋮ Entropy of stationary measures and bounded tangential de Rham cohomology of semisimple Lie group actions ⋮ Amenability and the Liouville property

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