Minimal discs in hyperbolic space bounded by a quasicircle at infinity

DOI10.4171/CMH/403zbMath1356.53063arXiv1411.3412OpenAlexW2963456823MaRDI QIDQ2374420

Andrea Seppi

Publication date: 15 December 2016

Published in: Commentarii Mathematici Helvetici (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1411.3412

zbMATH Keywords

minimal surfaceTeichmüller spaceBeltrami differentialSchauder estimatequasicirclequasi-Fuchsian manifoldalmost-Fuchsian manifold

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) General geometric structures on low-dimensional manifolds (57M50) Teichmüller theory for Riemann surfaces (30F60)

Related Items (13)

Embedded 𝐻-planes in hyperbolic 3-space ⋮ Counting minimal surfaces in negatively curved 3-manifolds ⋮ On the volume of anti-de Sitter maximal globally hyperbolic three-manifolds ⋮ 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 ⋮ The Loewner–Kufarev energy and foliations by Weil–Petersson quasicircles ⋮ On a convexity property of the space of almost Fuchsian immersions ⋮ Generalization of a formula of Wolpert for balanced geodesic graphs on closed hyperbolic surfaces ⋮ Equivariant maps into Anti-de Sitter space and the symplectic geometry of ℍ²×ℍ² ⋮ Deformations of totally geodesic foliations and minimal surfaces in negatively curved 3-manifolds ⋮ The flux homomorphism on closed hyperbolic surfaces and anti-de Sitter three-dimensional geometry ⋮ Quasicircles and width of Jordan curves in CP1 ⋮ On the maximal dilatation of quasiconformal minimal Lagrangian extensions

Cites Work

• Quasi-Fuchsian 3-manifolds and metrics on Teichmüller space
• Complete minimal hypersurfaces in hyperbolic n-manifolds
• On the renormalized volume of hyperbolic 3-manifolds
• The moduli space of Riemann surfaces of large genus
• Minimal surfaces and particles in 3-manifolds
• Domains of discontinuity for almost-Fuchsian groups
• On almost-Fuchsian manifolds
• Simultaneous uniformization
• Counting minimal surfaces in quasi-Fuchsian three-manifolds
• Asymptotic Plateau Problem
• Harmonic Mappings of Riemannian Manifolds
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Minimal discs in hyperbolic space bounded by a quasicircle at infinity