Journal article 172 views
Positively curved Riemannian orbifolds and Alexandrov spaces with circle symmetry in dimension 4
John Harvey 
,
Catherine Searle
,
Catherine Searle
arXiv, Pages: 1889 - 1927
Swansea University Author:
John Harvey
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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...
| Published in: | arXiv |
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| Published: |
Preprint article before certification by peer review.
2021
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| URI: | https://cronfa.swan.ac.uk/Record/cronfa58500 |
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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 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. |
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| Item Description: |
Preprint article before certification by peer review. |
| Keywords: |
Alexandrov geometry, positive curvature, groups of isometry |
| College: |
Faculty of Science and Engineering |
| Start Page: |
1889 |
| End Page: |
1927 |