Dominating CAT\((-1)\) surface group representations by Fuchsian ones

DOI10.1007/s10711-023-00782-2OpenAlexW4321790624MaRDI QIDQ2686983

Florestan Martin-Baillon

Publication date: 1 March 2023

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

Full work available at URL: https://arxiv.org/abs/2011.03954

zbMATH Keywords

harmonic mapshyperbolic geometrysurface group representationFuchsian representations

Mathematics Subject Classification ID

Compact Riemann surfaces and uniformization (30F10) Metric geometry (51F99)

Cites Work

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• Dominating surface group representations and deforming closed anti-de Sitter 3-manifolds
• Anosov representations and proper actions
• 3-dimensional Lorentz space-forms and Seifert fiber spaces
• Nonstandard Lorentz space forms
• The strong form of Ahlfors' lemma
• Completeness of Lorentz manifolds with constant curvature
• Conformal structure on the boundary and geodesic flow of a \(\text{CAT}(-1)\)-space
• Variétés anti-de Sitter de dimension 3 exotiques. (Exotic 3-dimension anti-de Sitter manifolds)
• Compact anti-de Sitter 3-manifolds and folded hyperbolic structures on surfaces
• Combinatorial harmonic maps and discrete-group actions on Hadamard spaces
• At infinity of finite-dimensional CAT\((0)\) spaces
• Dominating Surface Group Representations by Fuchsian Ones
• An Invitation to Alexandrov Geometry
• UNIQUENESS THEOREMS FOR HARMONIC MAPS INTO METRIC SPACES
• Surface groups acting on spaces
• An Extension of Schwarz's Lemma

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