Domains of discontinuity for almost-Fuchsian groups

DOI10.1090/tran/6789zbMath1442.53045arXiv1310.6412OpenAlexW2318497454MaRDI QIDQ2833020

Andrew Sanders

Publication date: 16 November 2016

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

Full work available at URL: https://arxiv.org/abs/1310.6412

zbMATH Keywords

minimal surfaceshyperbolic 3-manifoldshyperbolic Gauss mapquasi-Fuchsian groupsquasi-conformal maps

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Kleinian groups (aspects of compact Riemann surfaces and uniformization) (30F40) Quasiconformal methods in holomorphic dynamics; quasiconformal dynamics (37F31) Teichmüller theory; moduli spaces of holomorphic dynamical systems (37F34) Fuchsian and Kleinian groups as dynamical systems (37F32)

Related Items (4)

Minimal discs in hyperbolic space bounded by a quasicircle at infinity ⋮ On the Gauss map of equivariant immersions in hyperbolic space ⋮ Quasi-Fuchsian manifolds close to the Fuchsian locus are foliated by constant mean curvature surfaces ⋮ Deformations of totally geodesic foliations and minimal surfaces in negatively curved 3-manifolds

Cites Work

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• Least area incompressible surfaces in 3-manifolds
• Differential geometry in the large. Seminar lectures New York University 1946 and Stanford University 1956. With a preface by S. S. Chern.
• Compact 3-manifolds of constant negative curvature fibering over the circle
• On almost-Fuchsian manifolds
• Minimal Immersions of Closed Riemann Surfaces
• Simultaneous uniformization
• The hyperbolic Gauss map and quasiconformal reflections.
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