On the maximal dilatation of quasiconformal minimal Lagrangian extensions

DOI10.1007/S10711-019-00422-8zbMath1435.32017arXiv1711.01197OpenAlexW3099026105MaRDI QIDQ2334088

Andrea Seppi

Publication date: 6 November 2019

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1711.01197

zbMATH Keywords

quasiconformal mappingsmaximal dilatationcross-ratio normminimal Lagrangian diffeomorphismsUniversal Teichmüller space

Mathematics Subject Classification ID

Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Differential geometric aspects of harmonic maps (53C43) Teichmüller theory for Riemann surfaces (30F60)

Cites Work

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• Maximal surfaces in anti-de Sitter 3-manifolds with particles
• Maximal surfaces and the universal Teichmüller space
• Chebyshev property of complete elliptic integrals and its application to Abelian integrals.
• The boundary correspondence under quasiconformal mappings
• Zur Frage der Eindeutigkeit extremaler quasikonformer Abbildungen des Einheitskreises
• Uniqueness and regularity of proper harmonic maps
• Conformally natural extension of homeomorphisms of the circle
• Minimal diffeomorphism between hyperbolic surfaces with cone singularities
• Harmonic quasi-isometric maps between rank one symmetric spaces
• Minimal discs in hyperbolic space bounded by a quasicircle at infinity
• Constant mean curvature foliations of globally hyperbolic spacetimes locally modelled on \(Ad\, S_{3}\)
• Minimal surfaces and particles in 3-manifolds
• Lorentz spacetimes of constant curvature
• Maximal surfaces in Anti-de Sitter space, width of convex hulls and quasiconformal extensions of quasisymmetric homeomorphisms
• On Codazzi Tensors on a Hyperbolic Surface and Flat Lorentzian Geometry
• Harmonic maps and the Schoen conjecture
• Lorentzian Kleinian Groups
• Cross-ratio distortion and Douady-Earle extension: I. A new upper bound on quasiconformality
• The dilatation of Beurling-Ahlfors extensions of quasisymmetric functions
• Surfaces Convexes Dans L'espace Hyperbolique et CP ¹ Structures
• Area-preserving diffeomorphisms of the hyperbolic plane and K-surfaces in anti-de Sitter space

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