期刊论文详细信息
Canadian mathematical bulletin | |
Non-branching RCD$(0,N)$ Geodesic Spaces with Small Linear Diameter Growth have Finitely Generated Fundamental Groups | |
Yu Kitabeppu1  Sajjad Lakzian2  | |
[1] Kyoto University;Hausdorff Institute for Mathematics, Universität Bonn | |
关键词: Milnor conjecture; non negative Ricci curvature; curvature dimension condition; finitely generated; fundamental group; infinitesimally Hilbertian; | |
DOI : 10.4153/CMB-2015-052-4 | |
学科分类:数学(综合) | |
来源: University of Toronto Press * Journals Division | |
【 摘 要 】
In this paper, we generalize the finite generation result of Sormanito 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-smoothspaces obtained by Gigli-Mosconi.
【 授权许可】
Unknown
【 预 览 】
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RO201912050577169ZK.pdf | 17KB | download |