RCD(0,N)-spaces with small linear diameter growth
Metric Geometry
2023-11-27 v2 Differential Geometry
Abstract
In this paper, we study some structure properties on the (revised) fundamental group of RCD(0,N) spaces. Our main result generalizes earlier work of Sormani on Riemannian manifolds with nonnegative Ricci curvature and small linear diameter growth. We prove that the revised fundamental group is finitely generated if assuming small linear diameter growth on RCD(0,N) spaces.
Keywords
Cite
@article{arxiv.2212.08786,
title = {RCD(0,N)-spaces with small linear diameter growth},
author = {Xin Qian},
journal= {arXiv preprint arXiv:2212.08786},
year = {2023}
}
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17 pages