On the propagation of singularities of constant curvature, convex hypersurfaces
arXiv:2410.09950
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.
A brief review, by invitation, for a forthcoming volume in honour of Marcos Dajczer. 16 pages, 6 figures