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20162022
most citedHyperbolic ends with particles and grafting on singular surfaces

2 citations · 7 across the 8 of their papers we have counts for

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5 papers · 1 filter

math.DG2022

The geometric data on the boundary of convex subsets of hyperbolic manifolds

Qiyu Chen, Jean-Marc Schlenker

Let be a geodesically convex subset in a convex co-compact hyperbolic manifold with incompressible boundary. We assume that each boundary component of is either a bound…

math.DG2019★ 1 cited

Hyperideal polyhedra in the 3-dimensional anti-de Sitter space

Qiyu Chen, Jean-Marc Schlenker

We study hyperideal polyhedra in the 3-dimensional anti-de Sitter space , which are defined as the intersection of the projective model of with a convex polyhedron i…

math.DG2017

Constant mean curvature foliation of globally hyperbolic (2+1)-spacetimes with particles

Qiyu Chen, Andrea Tamburelli

Let be a globally hyperbolic maximal compact -dimensional spacetime locally modelled on Minkowski, anti-de Sitter or de Sitter space. It is well known that admits a uniq…

math.DG2017★ 2 cited

Hyperbolic ends with particles and grafting on singular surfaces

Qiyu Chen, Jean-Marc Schlenker

We prove that any hyperbolic end with particles (cone singularities along infinite curves of angles less than ) admits a unique foliation by constant Gauss curvature surfaces. U…

math.DG2016★ 1 cited

Constant Gauss curvature foliations of AdS spacetimes with particles

Qiyu Chen, Jean-Marc Schlenker

We prove that for any convex globally hyperbolic maximal (GHM) anti-de Sitter (AdS) 3-dimensional space-time with particles (cone singularities of angles less than along ti…