94 citations · 605 across the 65 of their papers we have counts for
17 papers · 1 filter
Bending laminations on convex hulls of anti-de Sitter quasicircles
Louis Merlin, Jean-Marc Schlenker
Let and be two bounded measured laminations on the hyperbolic disk , which "strongly fill" (definition below). We consider the left earthquakes along …
Quasicircles and width of Jordan curves in
Francesco Bonsante, Jeffrey Danciger, Sara Maloni +1
We study a notion of "width" for Jordan curves in , paying special attention to the class of quasicircles. The width of a Jordan curve is defined in terms of the geo…
Volumes of quasifuchsian manifolds
Jean-Marc Schlenker
Quasifuchsian hyperbolic manifolds, or more generally convex co-compact hyperbolic manifolds, have infinite volume, but they have a well-defined ``renormalized'' volume. We outline…
The induced metric on the boundary of the convex hull of a quasicircle in hyperbolic and anti de Sitter geometry
Francesco Bonsante, Jeffrey Danciger, Sara Maloni +1
Celebrated work of Alexandrov and Pogorelov determines exactly which metrics on the sphere are induced on the boundary of a compact convex subset of hyperbolic three-space. As a st…
Properness for circle packings and Delaunay circle patterns on complex projective structures
Jean-Marc Schlenker, Andrew Yarmola
We consider circle packings and, more generally, Delaunay circle patterns - arrangements of circles arising from a Delaunay decomposition of a finite set of points - on surfaces eq…
Notes on the Schwarzian tensor and measured foliations at infinity of quasifuchsian manifolds
Jean-Marc Schlenker
The boundary at infinity of a quasifuchsian hyperbolic manifold is equiped with a holomorphic quadratic differential. Its horizontal measured foliation can be interpreted as th…
A cyclic extension of the earthquake flow II
Francesco Bonsante, Gabriele Mondello, Jean-Marc Schlenker
The landslide flow, introduced in [5], is a smoother analog of the earthquake flow on Teichmüller space which shares some of its key properties. We show here that further propertie…
A cyclic extension of the earthquake flow
Francesco Bonsante, Gabriele Mondello, Jean-Marc Schlenker
Let $\cT$ be Teichmüller space of a closed surface of genus at least 2. For any point $c\in \cT$, we describe an action of the circle on $\cT\times \cT$, which limits to the earthq…
The convex core of quasifuchsian manifolds with particles
Cyril Lecuire, Jean-Marc Schlenker
We consider quasifuchsian manifolds with "particles", i.e., cone singularities of fixed angle less than going from one connected component of the boundary at infinity to the ot…
Volume maximization and the extended hyperbolic space
Feng Luo, Jean-Marc Schlenker
We consider a volume maximization program to construct hyperbolic structures on triangulated 3-manifolds, for which previous progress has lead to consider angle assignments which d…
Fixed points of compositions of earthquakes
Francesco Bonsante, Jean-Marc Schlenker
Let S be a closed surface of genus at least 2, and consider two measured geodesic laminations that fill S. Right earthquakes along these laminations are diffeomorphisms of the Teic…
Multi Black Holes and Earthquakes on Riemann surfaces with boundaries
Francesco Bonsante, Kirill Krasnov, Jean-Marc Schlenker
We prove an "Earthquake Theorem" for hyperbolic metrics with geodesic boundary on a compact surfaces with boundary: given two hyperbolic metrics with geodesic boundary on a sur…
AdS manifolds with particles and earthquakes on singular surfaces
Francesco Bonsante, Jean-Marc Schlenker
We prove two related results. The first is an ``Earthquake Theorem'' for closed hyperbolic surfaces with cone singularities where the total angle is less than : any two such met…
Hyperideal circle patterns
Jean-Marc Schlenker
A ``hyperideal circle pattern'' in is a finite family of oriented circles, similar to the ``usual'' circle patterns but such that the closed disks bounded by the circles do n…
Hyperideal polyhedra in hyperbolic manifolds
Jean-Marc Schlenker
Let $(M, \dr M)$ be a 3-manifold with incompressible boundary that admits a convex co-compact hyperbolic metric. We consider the hyperbolic metrics on such that $\dr M$ looks l…
Ideal triangulations of finite volume hyperbolic 3-manifolds
Jean-Marc Schlenker
This paper was withdrawn (temporarily?) by the author since an error needs to be corrected.
Hyperbolic manifolds with polyhedral boundary
Jean-Marc Schlenker
Let be a compact 3-manifold with boundary which admits a complete, convex co-compact hyperbolic metric. For each hyperbolic metric on such that $\dr M$ is…