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Positive Ricci curvature on simply-connected manifolds with cohomogeneity-two torus actions

Corro, Diego; Galaz-García, Fernando

Positive Ricci curvature on simply-connected manifolds with cohomogeneity-two torus actions Thumbnail


Authors

Diego Corro



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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