Local rigidity in quaternionic hyperbolic space

DOI10.4171/JEMS/177zbMath1203.53046arXiv0708.2182MaRDI QIDQ1041252

Pierre Pansu, Inkang Kim

Publication date: 1 December 2009

Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0708.2182

zbMATH Keywords

bendingrigiditygroup cohomologyquaternionic hyperbolic spacequasifuchsian representationrank one symmetric space

Mathematics Subject Classification ID

Compact Lie groups of differentiable transformations (57S15) Discrete subgroups of Lie groups (22E40) Rigidity results (53C24) Differential geometry of symmetric spaces (53C35) Linear algebraic groups over the reals, the complexes, the quaternions (20G20) General properties and structure of other Lie groups (22E20)

Related Items (8)

Local rigidity of complex hyperbolic lattices in semisimple Lie groups ⋮ Eichler-Shimura isomorphism for complex hyperbolic lattices ⋮ The moduli space of points in the boundary of quaternionic hyperbolic space ⋮ Toledo invariant of lattices in SU(2,1) via symmetric square ⋮ Maximal representations of complex hyperbolic lattices into \(\mathrm{SU}(m,n)\) ⋮ A Milnor-Wood inequality for complex hyperbolic lattices in quaternionic space ⋮ Density of Zariski density for surface groups ⋮ Deformation Spaces of Discrete Groups of SU(2,1) in Quaternionic Hyperbolic Plane: A Case Study

Cites Work

• Bending and stamping deformations of hyperbolic manifolds
• Flat G-bundles with canonical metrics
• Surface group representations with maximal Toledo invariant.
• Infinitely many hyperbolic Coxeter groups through dimension 19.

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