Morse actions of discrete groups on symmetric spaces: Local-to-global principle
arXiv:2301.04562 · doi:10.2140/gt.2025.29.2343
Abstract
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 and construct Morse ``Schottky subgroups'' of higher rank semisimple Lie groups via arguments not based on Tits' ping-pong. Our argument is purely geometric and proceeds by constructing equivariant Morse quasiisometric embeddings of trees into higher rank symmetric spaces.
arXiv commentThe preprint is mostly based on the material of Section 7 of our earlier paper "Morse actions of discrete groups on symmetric spaces" [arXiv:1403.7671]
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