Sublinearly Morseness in Higher Rank Symmetric Spaces
Differential Geometry
2025-05-01 v2 Dynamical Systems
Group Theory
Abstract
The goal of this paper is to develop a theory of "sublinearly Morse boundary" and prove a corresponding sublinearly Morse lemma in higher rank symmetric space of non-compact type. This is motivated by the work of Kapovich-Leeb-Porti and the theory of sublinearly Morse quasi-geodesics developed in the context of CAT(0) geometry.
Cite
@article{arxiv.2504.12448,
title = {Sublinearly Morseness in Higher Rank Symmetric Spaces},
author = {Rou Wen},
journal= {arXiv preprint arXiv:2504.12448},
year = {2025}
}
Comments
35 pages. Comments welcome!