Article ID Journal Published Year Pages File Type
4615765 Journal of Mathematical Analysis and Applications 2014 16 Pages PDF
Abstract
Let (X,d) be an n-dimensional Alexandrov space whose Hausdorff measure Hn satisfies a condition giving the metric measure space (X,d,Hn) 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,Hn) has finite topological type.
Related Topics
Physical Sciences and Engineering Mathematics Analysis
Authors
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