On tangent cones of Alexandrov spaces with curvature bounded below |
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Authors: | Stephanie Halbeisen |
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Affiliation: | 1032 Stannage Ave, Albany, CA 94706, USA.?e-mail: s.halbeisen@worldnet.att.net, US
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Abstract: | The tangent cones of an inner metric Alexandrov space with finite Hausdorff dimension and a lower curvature bound are always inner metric spaces with nonnegative curvature. In this paper we construct an infinite-dimensional inner metric Alexandrov space of nonnegative curvature which has in one point a tangent cone whose metric is not an inner metric. Received: 20 October 1999 / Revised version: 8 May 2000 |
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Keywords: | Mathematics Subject Classification (2000): 53C45 |
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