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Rigidity Theorems for the Weyl Problem of Convex Surfaces in Hyperbolic 3-Space
In this paper, we study the rigidity of noncompact convex sets in hyperbolic 3-space. We prove that any intrinsic isometry between the boundaries of two closed, noncompact convex subsets of hyperbolic 3-space of dimension at least two extends to a global isometry of the ambient space, provided that
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