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Positively curved Riemannian orbifolds and Alexandrov apaces with circle aymmetry in Dimension 4
Harvey, John Searle, Catherine
Harvey, John
Searle, Catherine
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2021-10-01
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Article
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Alexandrov spaces,Circle action,Condition Q,Orbifold classification
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Citation
Harvey, J., & Searle, C. (2021). Positively Curved Riemannian Orbifolds and Alexandrov Spaces with Circle Symmetry in Dimension 4. In (Vol. 26). Documenta Mathematica.
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. \par As a corollary, we also classify positively curved Riemannian orbifolds of dimension 4 with an isometric circle action.
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This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/).
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Deutsche Mathematiker Vereinigung
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Documenta Mathematica
Volume 26
Volume 26
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1889-1927