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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

Graham Smith This is my paper · ORCID
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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Cited by 1 Pith paper

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  1. Removing singularities for fully nonlinear PDEs

    math.AP 2024-11 conditional novelty 6.0 of 10

    Half-line singularities of viscosity solutions are removable for fully nonlinear elliptic PDEs with a Jacobi inequality, proven by a doubling argument; the single-side version is new.

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