Positively curved Riemannian orbifolds and Alexandrov spaces with circle symmetry in dimension 4

Harvey, John ORCID: https://orcid.org/0000-0001-9211-0060 and Searle, Catherine 2021. Positively curved Riemannian orbifolds and Alexandrov spaces with circle symmetry in dimension 4. Documenta Mathematica 26 , pp. 1889-1927. 10.25537/DM.2021V26.1889-1927

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Abstract

We classify positively curved Alexandrov spaces of dimension $4$ with an isometric circle action up to equivariant homeomorphism, subject to a certain additional condition on the infinitesimal geometry near fixed points which we conjecture is always satisfied. As a corollary, we also classify positively curved Riemannian orbifolds of dimension $4$ with an isometric circle action.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Mathematics
Additional Information:	Attribution 4.0 International (CC BY 4.0)
Publisher:	Universität Bielefeld
ISSN:	1431-0635
Date of First Compliant Deposit:	5 July 2022
Date of Acceptance:	8 October 2021
Last Modified:	14 May 2023 02:24
URI:	https://orca.cardiff.ac.uk/id/eprint/151000

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