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Isometry groups of Alexandrov spaces. [Preprint]

Galaz-Garcia, Fernando; Guijarro, Luis

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.


Zugehörige Institution(en) am KIT Institut für Algebra und Geometrie (IAG)
Publikationstyp Buchaufsatz
Jahr 2011
Sprache Englisch
Identifikator KITopen ID: 1000051167
Erschienen in arXiv [math.DG]
Seiten arXiv:1109.4878
URLs http://arxiv.org/abs/1109.4878
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