2 papers
math.DG2025
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…
math.DG2025
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…