3 papers
math.DG2024
Almost-Fuchsian representations in PU(2,1)
Samuel Bronstein
In this paper, we study nonmaximal representations of surface groups in PU(2,1). In genus large enough, we show the existence of convex-cocompact representations of non-maximal Tol…
math.CA2023
Maximal operators on hyperbolic triangles
Anthony Gauvan, Samuel Bronstein, Romain Branchereau
We characterize the boundedness properties on the spaces of the maximal operator where is an arbitrary family of hyperbolic triang…
math.DG2023
Almost-fuchsian structures on disk bundles over a surface
Samuel Bronstein
Considering an integer , we show the existence of convex-cocompactrepresentations of surface groups into SO(4,1) admitting an embedded minimal map withcurvatures in a…