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

John Harvey Orcid Logo, Catherine Searle

arXiv, Pages: 1889 - 1927

Swansea University Author: John Harvey Orcid Logo

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DOI (Published version): 10.25537/dm.2021v26.1889-1927

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 geometrynear fixed points which we conjecture is always satisfied.As a corollary, we also classify positively...

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Published in: arXiv
Published: Preprint article before certification by peer review. 2021
URI: https://cronfa.swan.ac.uk/Record/cronfa58500
first_indexed 2021-10-28T14:02:29Z
last_indexed 2022-03-18T04:26:07Z
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spelling 2022-03-17T12:44:20.2003715 v2 58500 2021-10-28 Positively curved Riemannian orbifolds and Alexandrov spaces with circle symmetry in dimension 4 1a837434ec48367a7ffb596d04690bfd 0000-0001-9211-0060 John Harvey John Harvey true false 2021-10-28 MACS 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 geometrynear 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. Journal Article arXiv 1889 1927 Preprint article before certification by peer review. Alexandrov geometry, positive curvature, groups of isometry 8 10 2021 2021-10-08 10.25537/dm.2021v26.1889-1927 Preprint article before certification by peer review. COLLEGE NANME Mathematics and Computer Science School COLLEGE CODE MACS Swansea University 2022-03-17T12:44:20.2003715 2021-10-28T14:58:57.4307802 Faculty of Science and Engineering School of Mathematics and Computer Science - Mathematics John Harvey 0000-0001-9211-0060 1 Catherine Searle 2
title Positively curved Riemannian orbifolds and Alexandrov spaces with circle symmetry in dimension 4
spellingShingle Positively curved Riemannian orbifolds and Alexandrov spaces with circle symmetry in dimension 4
John Harvey
title_short Positively curved Riemannian orbifolds and Alexandrov spaces with circle symmetry in dimension 4
title_full Positively curved Riemannian orbifolds and Alexandrov spaces with circle symmetry in dimension 4
title_fullStr Positively curved Riemannian orbifolds and Alexandrov spaces with circle symmetry in dimension 4
title_full_unstemmed Positively curved Riemannian orbifolds and Alexandrov spaces with circle symmetry in dimension 4
title_sort Positively curved Riemannian orbifolds and Alexandrov spaces with circle symmetry in dimension 4
author_id_str_mv 1a837434ec48367a7ffb596d04690bfd
author_id_fullname_str_mv 1a837434ec48367a7ffb596d04690bfd_***_John Harvey
author John Harvey
author2 John Harvey
Catherine Searle
format Journal article
container_title arXiv
container_start_page 1889
publishDate 2021
institution Swansea University
doi_str_mv 10.25537/dm.2021v26.1889-1927
publisher Preprint article before certification by peer review.
college_str Faculty of Science and Engineering
hierarchytype
hierarchy_top_id facultyofscienceandengineering
hierarchy_top_title Faculty of Science and Engineering
hierarchy_parent_id facultyofscienceandengineering
hierarchy_parent_title Faculty of Science and Engineering
department_str School of Mathematics and Computer Science - Mathematics{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Mathematics and Computer Science - Mathematics
document_store_str 0
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description 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 geometrynear 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.
published_date 2021-10-08T05:27:48Z
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score 11.102564

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