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SUMMARY:Roman Prosanov (Technische Universität Wien)
DTSTART:20200602T140000Z
DTEND:20200602T150000Z
DTSTAMP:20260423T035053Z
UID:Geometry/2
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/Geometry/2/"
 >Rigidity of compact Fuchsian manifolds with convex boundary</a>\nby Roman
  Prosanov (Technische Universität Wien) as part of Pangolin seminar\n\n\n
 Abstract\nBy a compact Fuchsian manifold with boundary we mean a hyperboli
 c 3-manifold homeomorphic to $S_g \\times [0\; 1]$ such that the boundary 
 component $S_g \\times \\{ 0\\}$ is geodesic. Here $S_g$ is a closed orien
 ted surface of genus $g>1$. Fuchsian manifolds are known as toy cases in t
 he study of geometry of hyperbolic 3-manifolds with boundary. In my talk I
  will sketch a proof that a compact Fuchsian manifold with convex boundary
  is uniquely determined by the induced path metric on $S_g \\times \\{1\\}
 $. We do not put further restrictions on the boundary except convexity. Th
 is unifies two previously known results: in the case of smooth boundary su
 ch a result follows from a work of Schlenker and in the case of polyhedral
  boundary it was proven by Fillastre.\n
LOCATION:https://researchseminars.org/talk/Geometry/2/
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