86 citations · 543 across the 59 of their papers we have counts for
4 papers · 1 filter
Morse actions of discrete groups on symmetric spaces: Local-to-global principle
Michael Kapovich, Bernhard Leeb, Joan Porti
Our main result is a local-to-global principle for Morse quasigeodesics, maps and actions. As an application of our techniques we show algorithmic recognizability of Morse actions…
Finsler bordifications of symmetric and certain locally symmetric spaces
Michael Kapovich, Bernhard Leeb
We give a geometric interpretation of the maximal Satake compactification of symmetric spaces of noncompact type, showing that it arises by attaching the horofunction bound…
Convex projective structures on Gromov--Thurston manifolds
Michael Kapovich
We consider Gromov-Thurston examples of negatively curved n-manifolds which do not admit metrics of constant sectional curvature. We show that for each n some of the Gromov-Thursto…
Conformally flat metrics on 4-manifolds
Michael Kapovich
We prove that for each closed smooth spin 4-manifold M there exists a closed smooth 4-manifold N such that the connected sum M # N admits a conformally flat Riemannian metric.