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arXiv · 2301.04562

Morse actions of discrete groups on symmetric spaces: Local-to-global principle

Michael Kapovich·Bernhard Leeb·Joan Porti
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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.

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Michael Kapovich, Bernhard Leeb, Joan Porti. 2023-01-11. Morse actions of discrete groups on symmetric spaces: Local-to-global principle. https://doi.org/10.2140/gt.2025.29.2343

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