54 citations · 210 across the 33 of their papers we have counts for
4 papers · 1 filter
Quasicircle boundaries and exotic almost-isometries
Jean-Francois Lafont, Benjamin Schmidt, Wouter van Limbeek
We consider properly discontinuous, isometric, convex cocompact actions of surface groups on a CAT(-1) space. We show that the limit set of such an action, equipped with the canoni…
Positively curved manifolds with large spherical rank
Benjamin Schmidt, Krishnan Shankar, Ralf Spatzier
Rigidity results are obtained for Riemannian -manifolds with and spherical rank at least . Conjecturally, all such manifolds are locally isometric to a…
Rigidity of Almost-Isometric Universal Covers
Aditi Kar, Jean-Francois Lafont, Benjamin Schmidt
Almost-isometries are quasi-isometries with multiplicative constant one. Lifting a pair of metrics on a compact space gives quasi-isometric metrics on the universal cover. Under so…
Three-manifolds with many flat planes
Renato G. Bettiol, Benjamin Schmidt
We discuss the rigidity (or lack thereof) imposed by different notions of having an abundance of zero curvature planes on a complete Riemannian 3-manifold. We prove a rank rigidity…