1 citations · 3 across the 7 of their papers we have counts for
9 papers
Stability and uniqueness of minimal disks in non-constant curvature
Sébastien Alvarez, Thibault Lefeuvre, Ben Lowe +1
Nitsche proved that every smooth Jordan curve in of total curvature at most bounds a unique minimal disk, which is moreover strictly stable. We prove an analogu…
Foliated Plateau problems, surface Radon transforms, and boundary area rigidity in dimension three
Sébastien Alvarez, Thibault Lefeuvre, Ben Lowe +1
The present paper studies integral geometry problems on three-dimensional Riemannian balls, where integration is performed over minimal surfaces or, more generally, -surfaces de…
Rigidity of Totally Geodesic Hypersurfaces in Negative Curvature
Ben Lowe
Let be a closed hyperbolic manifold containing a totally geodesic hypersurface , and let be a closed Riemannian manifold homotopy equivalent to with sectional curvat…
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 -…
Minimal Surface Entropy and Average Area Ratio
Ben Lowe, Andre Neves
On any closed hyperbolizable 3-manifold, we find a sharp relation between the minimal surface entropy (introduced by Calegari-Marques-Neves) and the average area ratio (introduced…
Beyond almost Fuchsian space
Zheng Huang, Ben Lowe
An almost Fuchsian manifold is a hyperbolic 3-manifold of the type which admits a closed minimal surface (homeomorphic to ) with the maximum principal curva…