Quasi-Fuchsian vs negative curvature metrics on surface groups

DOI10.1007/s11856-022-2440-1OpenAlexW3195763097MaRDI QIDQ2689234

Alex Furman, Ethan Fricker

Publication date: 9 March 2023

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2108.07947

zbMATH Keywords

Teichmüller spaceRiemann surfacesurface groupleft-invariant metrics

Mathematics Subject Classification ID

Compact Riemann surfaces and uniformization (30F10) Teichmüller theory for Riemann surfaces (30F60)

Cites Work

• Boundaries, Weyl groups, and superrigidity
• Boundary unitary representations -- irreducibility and rigidity
• Marked length rigidity for symmetric spaces
• Le spectre marqué des longueurs des surfaces à courbure négative. (The spectrum marked by lengths of surfaces with negative curvature)
• Rigidity for surfaces of non-positive curvature
• Patterson-Sullivan measures on the boundary of a hyperbolic space in the sense of Gromov
• Asymptotic entropy and Green speed for random walks on countable groups
• Patterson–Sullivan theory for Anosov subgroups
• Harmonic measures versus quasiconformal measures for hyperbolic groups
• Irreducibility of some representations of the groups of symplectomorphisms and contactomorphisms
• RINGS OF DEFINITION OF DENSE SUBGROUPS OF SEMISIMPLE LINEAR GROUPS
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