期刊论文详细信息
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 卷:419
Alexandrov spaces with large volume growth
Article
Munn, Michael
关键词: Analysis on Alexandrov spaces;    Nonnegative Ricci curvature;    Volume bounds;   
DOI  :  10.1016/j.jmaa.2014.04.043
来源: Elsevier
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【 摘 要 】

Let (X, d) be an n-dimensional Alexandrov space whose Hausdorff measure H-n satisfies a condition giving the metric measure space (X, d,H-n) a notion of having nonnegative Ricci curvature. We examine the influence of large volume growth on these spaces and generalize some classical arguments from Riemannian geometry showing that when the volume growth is sufficiently large, then (X, d, H-n) has finite topological type. (C) 2014 Elsevier Inc. All rights reserved.

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