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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…
math.DG2023
On a convexity property of the space of almost fuchsian immersions
Samuel Bronstein, Graham Andrew Smith
We study the space of Hopf differentials of almost fuchsian minimal immersions of compact Riemann surfaces. We show that the extrinsic curvature of the immersion at any given point…