Sublinearly Morseness in Higher Rank Symmetric Spaces
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866915266474016768 |
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| author | Wen, Rou |
| author_facet | Wen, Rou |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_12448 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Sublinearly Morseness in Higher Rank Symmetric Spaces Wen, Rou Differential Geometry Dynamical Systems Group Theory 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. |
| title | Sublinearly Morseness in Higher Rank Symmetric Spaces |
| topic | Differential Geometry Dynamical Systems Group Theory |
| url | https://arxiv.org/abs/2504.12448 |