2 papers
math.DG2024
On the propagation of singularities of constant curvature, convex hypersurfaces
Graham Smith
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 s…
math.DG2024
Foliated Plateau problems and asymptotic counting of surface subgroups
Sébastien Alvarez, Ben Lowe, Graham Smith
In [17], Labourie initiated the study of the dynamical properties of the space of -surfaces, that is, suitably complete immersed surfaces of constant extrinsic curvature in -…