Almost non-negatively curved 4-manifolds with torus symmetry

Harvey, John ORCID: https://orcid.org/0000-0001-9211-0060 and Searle, Catherine 2020. Almost non-negatively curved 4-manifolds with torus symmetry. Proceedings of the American Mathematical Society 148 (11) , pp. 4933-4950. 10.1090/proc/15093

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Abstract

We prove that if a closed, smooth, simply-connected 4-manifold with a circle action admits an almost non-negatively curved sequence of invariant Riemannian metrics, then it also admits a non-negatively curved Riemannian metric invariant with respect to the same action. The same is shown for torus actions of higher rank, giving a classification of closed, smooth, simply-connected 4-manifolds of almost non-negative curvature under the assumption of torus symmetry.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Mathematics
Publisher:	American Mathematical Society
ISSN:	0002-9939
Last Modified:	10 Nov 2022 11:34
URI:	https://orca.cardiff.ac.uk/id/eprint/150999

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