Rigidity of cusps in deformations of hyperbolic 3-orbifolds

DOI10.1007/BF01444885zbMath0813.57013MaRDI QIDQ1318057

Alan W. Reid, Walter D. Neumann

Publication date: 1 February 1996

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/165040

zbMATH Keywords

arithmeticdeformationsDehn fillingcharacter variety2-cusped hyperbolic 3-manifolds3-manifold with a complete hyperbolic structure of finite volumegeometrically isolatedhyperbolic 3-orbifolds

Mathematics Subject Classification ID

Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) General geometric structures on low-dimensional manifolds (57M50) Kleinian groups (aspects of compact Riemann surfaces and uniformization) (30F40)

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Cites Work

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• The smallest hyperbolic 3-manifolds with totally geodesic boundary
• Volumes of hyperbolic three-manifolds
• Euclidean decompositions of noncompact hyperbolic manifolds
• Amalgamation and the invariant trace field of a Kleinian group