On the propagation of singularities of constant curvature, convex hypersurfaces

Graham Smith

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arXiv · 2410.09950

On the propagation of singularities of constant curvature, convex hypersurfaces

Graham Smith

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Abstract

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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Graham Smith. 2024-10-13. On the propagation of singularities of constant curvature, convex hypersurfaces. https://arxiv.org/abs/2410.09950

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