Non-branching RCD(0,N) Geodesic Spaces with Small Linear Diameter Growth Have Finitely Generated Fundamental Groups
| Autor: | Kitabeppu, Yu, Lakzian, Sajjad |
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| Rok vydání: | 2014 |
| Předmět: | |
| Zdroj: | Canadian Mathematical Bulletin 58, no. 4, 787 - 798 (2015) |
| Druh dokumentu: | Working Paper |
| Popis: | In this paper, we generalize the finite generation result of Sormani to non-branching $RCD(0,N)$ geodesic spaces (and in particular, Alexandrov spaces) with full support measures. This is a special case of the Milnor's Conjecture for complete non-compact $RCD(0,N)$ spaces. One of the key tools we use is the Abresch-Gromoll type excess estimates for non-smooth spaces obtained by Gigli-Mosconii. Comment: 11 pages, revised: Remark 1.5 regarding Alexandrov spaces and a reference added to the paper |
| Databáze: | arXiv |
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