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arXiv · 1109.4878

Isometry groups of Alexandrov spaces

Fernando Galaz-Garcia·Luis Guijarro
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Abstract

For an Alexandrov space (with curvature bounded below), we determine the maximal dimension of its isometry group and show that the space is isometric to a Riemannian manifold, provided the dimension of its isometry group is maximal. We also determine a gap in the possible dimensions of the isometry groups and show that if the Alexandrov space is symmetric, then it is isometric to a Riemannian manifold.

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BibTeXRIS

Fernando Galaz-Garcia, Luis Guijarro. 2012-08-15. Isometry groups of Alexandrov spaces. https://doi.org/10.1112/blms%2Fbds101

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