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On the propagation of singularities of constant curvature, convex hypersurfaces

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arxiv 2410.09950 v1 pith:WKUECHCZ submitted 2024-10-13 math.DG

classification math.DG
keywords curvatureconvexconstantfunctionshyperbolichypersurfacesspaceapply
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We describe the structure of the singular sets of constant curvature, convex hypersurfaces in hyperbolic space for general convex curvature functions. We apply this result to the study of the ideal Plateau problem in hyperbolic space for such curvature functions.

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