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arXiv · 1209.1366

Orientation and symmetries of Alexandrov spaces with applications in positive curvature

John Harvey·Catherine Searle
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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.

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John Harvey, Catherine Searle. 2012-09-06. Orientation and symmetries of Alexandrov spaces with applications in positive curvature. https://doi.org/10.1007/s12220-016-9734-7

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