Orientation and symmetries of Alexandrov spaces with applications in positive curvature

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Authors
Harvey, John
Searle, Catherine
Advisors
Issue Date
2017-04
Type
Article
Keywords
Alexandrov geometry , Isometric group actions , Slice Theorem , Orientation
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Organizational Units
Journal Issue
Citation
Harvey, J. & Searle, C. J Geom Anal (2017) 27: 1636
Abstract

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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Publisher
Springer
Journal
Book Title
Series
Journal of Geometric Analysis;v.27:no.2
PubMed ID
DOI
ISSN
1050-6926
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