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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.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…