Journal
JOURNAL OF GEOMETRIC ANALYSIS
Volume 27, Issue 2, Pages 1636-1666Publisher
SPRINGER
DOI: 10.1007/s12220-016-9734-7
Keywords
Alexandrov geometry; Isometric group actions; Slice Theorem; Orientation
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Funding
- US National Science Foundation
- CONACYT [SEP-106923]
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We develop two new tools for use in Alexandrov geometry: a theory of ramified orientable double covers and a particularly useful version of the Slice Theorem for actions of compact Lie groups. These tools are applied to the classification of compact, positively curved Alexandrov spaces with maximal symmetry rank.
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