The \(L_{pq}\)-cohomology of \(\text{SOL}^{(*)}\)

DOI10.5802/afst.916zbMath0962.53031OpenAlexW2058681823MaRDI QIDQ1299027

Vladimir Gol'dshtein, Marc Troyanov

Publication date: 1998

Published in: Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AFST_1998_6_7_4_687_0

zbMATH Keywords

cohomology groupsolvable Lie groupSOL

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Homology and cohomology of Lie groups (57T10) Nilpotent and solvable Lie groups (22E25)

Related Items

Relative L^p-cohomology and application to Heintze groups, \(L _{p,q} \)-cohomology of warped cylinders

Cites Work

• Differential forms on Lipschitz manifolds
• Integration of differential forms of the classes W*(p,q)
• \(L_ 2\)-cohomology and group cohomology
• The horizon of SOL
• Bounds on the von Neumann dimension of \(L^ 2\)-cohomoloy and the Gauss- Bonnet theorem for open manifolds
• A special Stoke's theorem for complete Riemannian manifolds
• The Geometries of 3-Manifolds
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item