A geometric proof of Mostow's rigidity theorem for groups of divergence type

DOI10.1007/BF02393208zbMath0532.30038MaRDI QIDQ788861

Stephen Agard

Publication date: 1983

Published in: Acta Mathematica (Search for Journal in Brave)

zbMATH Keywords

Möbius groupsMostow rigidity

Mathematics Subject Classification ID

Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization) (30F35)

Related Items (22)

Hausdorff dimensions of quasilines and differentiability of quasisymmetric homeomorphisms ⋮ The Poincaré series and the conformal measure of conical and Myrberg limit points ⋮ On horospheric limit sets of Kleinian groups ⋮ Recurrent geodesics and controlled concentration points ⋮ Parabolicity of zero-twist tight flute surfaces and uniformization of the Loch Ness monster ⋮ On the representation theory of Möbius groups inR n* ⋮ BMO-Teichmüller spaces revisited ⋮ Action of Möbius transformations on homeomorphisms: Stability and rigidity ⋮ A rigidity theorem for Möbius groups ⋮ On the Hausdorff dimension distortions of quasi-symmetric homeomorphisms ⋮ The type problem for Riemann surfaces via Fenchel–Nielsen parameters ⋮ Ergodicity of the geodesic flow on symmetric surfaces ⋮ Examples of discrete groups of hyperbolic motions conservative but not ergodic at infinity ⋮ On the non-smoothness of the vector fields for the dynamically invariant Beltrami coefficients ⋮ Attractors of the ‘n + 1’ dimensional Einstein-Λ flow ⋮ Conical Limit Points and Groups of Divergence Type ⋮ Representation theoretic rigidity in \(PSL(2,\mathbb{R})\) ⋮ New proofs of Liouville's theorem and little Picard's theorem for harmonic functions on \(R^n \), \(n\ge 2\) ⋮ The failure of analyticity of Hausdorff dimensions of quasi-circles of Fuchsian groups of the second kind ⋮ Mostow strong rigidity of locally symmetric spaces revisited ⋮ Differentiability of quasi-conformal maps on the jungle gym ⋮ Differentiability and rigidity of Möbius groups

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The boundary correspondence under quasiconformal mappings
• Quasi-conformal mappings in n-space and the rigidity of hyperbolic space forms
• Remarks on the boundary mapping for a Fuchsian group
• Strong Rigidity of Locally Symmetric Spaces. (AM-78)

This page was built for publication: A geometric proof of Mostow's rigidity theorem for groups of divergence type