Orientation and symmetries of Alexandrov spaces with applications in positive curvature

DOI10.1007/S12220-016-9734-7zbMATH Open1371.53038arXiv1209.1366OpenAlexW3106158843MaRDI QIDQ2012971

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Publication date: 3 August 2017

Published in: (Search for Journal in Brave)

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.

Full work available at URL: https://arxiv.org/abs/1209.1366

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