106 citations · 544 across the 25 of their papers we have counts for
25 papers
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…
Domains of discontinuity of Lorentzian affine group actions
Michael Kapovich, Bernhard Leeb
We prove nonemptyness of domains of proper discontinuity of Anosov groups of affine Lorentzian transformations.
Relativizing characterizations of Anosov subgroups, I
Michael Kapovich, Bernhard Leeb
We propose several common extensions of the classes of Anosov subgroups and geometrically finite Kleinian groups among discrete subgroups of semisimple Lie groups. We relativize va…
A combination theorem for Anosov subgroups
Subhadip Dey, Michael Kapovich, Bernhard Leeb
We prove an analogue of Klein combination theorem for Anosov subgroups by using a local-to-global principle for Morse quasigeodesics.
Discrete isometry groups of symmetric spaces
Michael Kapovich, Bernhard Leeb
This survey is based on a series of lectures that we gave at MSRI in Spring 2015 and on a series of papers, mostly written jointly with Joan Porti. Our goal here is to: 1. Describe…
Anosov subgroups: Dynamical and geometric characterizations
Michael Kapovich, Bernhard Leeb, Joan Porti
We study infinite covolume discrete subgroups of higher rank semisimple Lie groups, motivated by understanding basic properties of Anosov subgroups from various viewpoints (geometr…