manuscripta mathematica

, Volume 103, Issue 2, pp 169–182

On tangent cones of Alexandrov spaces with curvature bounded below

Authors

  • Stephanie Halbeisen
    • 1032 Stannage Ave, Albany, CA 94706, USA.¶e-mail: s.halbeisen@worldnet.att.net

DOI: 10.1007/s002290070018

Cite this article as:
Halbeisen, S. manuscripta math. (2000) 103: 169. doi:10.1007/s002290070018

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.

Mathematics Subject Classification (2000): 53C45
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© Springer-Verlag Berlin Heidelberg 2000