Orientation and Symmetries of Alexandrov Spaces with Applications in Positive Curvature

Harvey, John ORCID: https://orcid.org/0000-0001-9211-0060 and Searle, Catherine 2017. Orientation and Symmetries of Alexandrov Spaces with Applications in Positive Curvature. Journal of Geometric Analysis 27 (2) , pp. 1636-1666. 10.1007/s12220-016-9734-7

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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.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Schools > Mathematics
Publisher:	Springer
ISSN:	1050-6926
Last Modified:	10 Nov 2022 11:34
URI:	https://orca.cardiff.ac.uk/id/eprint/150998

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