Deformation spaces associated to compact hyperbolic manifolds

DOI10.1090/S0273-0979-1986-15404-2zbMath0613.53032MaRDI QIDQ4720358

Dennis L. Johnson, John J. Millson

Publication date: 1986

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

projective structureshyperbolic manifoldsconformal structuresholonomy representationstotally geodesic hypersurfacesbending deformations

Mathematics Subject Classification ID

Deformations of general structures on manifolds (58H15) Discrete subgroups of Lie groups (22E40) Global differential geometry (53C99) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15)

Related Items (8)

Eichler-Shimura homology and the finite generation of cusp forms by hyperbolic Poincaré series ⋮ Bad irreducible subgroups and singular locus for character varieties in \(\mathrm{PSL}(p,\mathbb {C})\) ⋮ Complex hyperbolic and projective deformations of small Bianchi groups ⋮ Rigidity of geometric structures ⋮ The deformation spaces of projective structures on 3-dimensional Coxeter orbifolds ⋮ Eichler-Shimura Homology, Intersection Numbers and Rational Structures on Spaces of Modular Forms ⋮ Non-faithful representations of surface groups into \(\mathrm{SL}(2,\mathbb C)\) which kill no simple closed curve ⋮ Character varieties

Cites Work

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• Lectures on introduction to moduli problems and orbit spaces
• Discrete conformal groups and measurable dynamics
• Three dimensional manifolds, Kleinian groups and hyperbolic geometry

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