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arXiv · 1805.09362

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

John Harvey·Catherine Searle
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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.

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John Harvey, Catherine Searle. 2018-05-23. Positively curved Riemannian orbifolds and Alexandrov spaces with circle symmetry in dimension 4. https://doi.org/10.25537/dm.2021v26.1889-1927

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