Diego Corro
Positive Ricci curvature on simply-connected manifolds with cohomogeneity-two torus actions
Corro, Diego; Galaz-García, Fernando
Abstract
We show that for each n 1, there exist infinitely many spin and non-spin diffeomorphism types of closed, smooth, simply-connected (n + 4)- manifolds with a smooth, effective action of a torus T n+2 and a metric of positive Ricci curvature invariant under a T n-subgroup of T n+2. As an application, we show that every closed, smooth, simply-connected 5- and 6-manifold admitting a smooth, effective torus action of cohomogeneity two supports metrics with positive Ricci curvature invariant under a circle or T2-action, respectively.
Citation
Corro, D., & Galaz-García, F. (2020). Positive Ricci curvature on simply-connected manifolds with cohomogeneity-two torus actions. Proceedings of the American Mathematical Society, 148(7), 3087-3097. https://doi.org/10.1090/proc/14961
Journal Article Type | Article |
---|---|
Acceptance Date | Dec 4, 2019 |
Online Publication Date | Mar 31, 2020 |
Publication Date | Jul 31, 2020 |
Deposit Date | Jan 31, 2020 |
Publicly Available Date | Mar 28, 2024 |
Journal | Proceedings of the American Mathematical Society |
Print ISSN | 0002-9939 |
Electronic ISSN | 1088-6826 |
Publisher | American Mathematical Society |
Peer Reviewed | Peer Reviewed |
Volume | 148 |
Issue | 7 |
Pages | 3087-3097 |
DOI | https://doi.org/10.1090/proc/14961 |
Related Public URLs | https://arxiv.org/abs/1609.06125 |
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Accepted Journal Article
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Publisher Licence URL
http://creativecommons.org/licenses/by-nc-nd/4.0/
Copyright Statement
The deposited accepted manuscript is available under a Creative Commons CC-BY-NC-ND licence.
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