2 papers
math.DG2024
Rigidity of the hyperbolic marked energy spectrum and entropy for -surfaces
Sébastien Alvarez, Ben Lowe, Graham Smith
Labourie raised the question of determining the possible asymptotics for the growth rate of compact -surfaces, counted according to energy, in negatively curved -manifolds, i…
math.DG2024
Finiteness of totally geodesic hypersurfaces
Simion Filip, David Fisher, Ben Lowe
We prove that a closed negatively curved analytic Riemannian manifold that contains infinitely many totally geodesic hypersurfaces is isometric to an arithmetic hyperbolic manifold…