The Geometry of Finitely Generated Kleinian Groups

1974/05/01 by Albert Marden · 208 citations
Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Algebra over a field #Finitely-generated abelian group #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #Geometry #Kleinian group #Mathematics #Pure mathematics

paper · doi:10.2307/1971059

published in The Annals of Mathematics 99(3), 383 (JSTOR)

crossref issued 1974/05/01 · crossref published 1974/05/01 · crossref published-print 1974/05/01 · openalex publication_date 1974/05/01 · crossref created 2006/04/24 · crossref deposited 2018/05/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/04/05 · crossref indexed 2026/07/18

Citations

• On Poincaré's theorem for fundamental polygons
• Curves on 2-manifolds and isotopies
• On Boundaries of Teichmuller Spaces and on Kleinian Groups: I
• On Irreducible 3-Manifolds Which are Sufficiently Large
• Compact Submanifolds of 3-Manifolds
• Finitely Generated 3-Manifold Groups are Finitely Presented

Cited by

• Shrinkwrapping and the taming of hyperbolic 3-manifolds
• Kleinian groups [A survey]
• Automorphic forms for Schottky groups
• The boundary of classical Schottky space
• On a Class of Geodesics in Teichmuller Space
• RELATIVELY HYPERBOLIC GROUPS
• Iteration on Teichmüller space
• Non-realizability and ending laminations: Proof of the density conjecture
• The convergence of circle packings to the Riemann mapping
• Geodesic systems of tunnels in hyperbolic 3–manifolds
• Mostow rigidity theorem [wikipedia]
• Schottky group [wikipedia]
• Tameness theorem [wikipedia]