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 | May 20, 2020 |
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 |
Public URL | https://durham-repository.worktribe.com/output/1277662 |
Related Public URLs | https://arxiv.org/abs/1609.06125 |
Files
Accepted Journal Article
(177 Kb)
PDF
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.
You might also like
Metric Geometry of Spaces of Persistence Diagrams
(2024)
Journal Article
Basic metric geometry of the bottleneck distance
(2024)
Journal Article
Manifolds that admit a double disk-bundle decomposition
(2023)
Journal Article
Kurdyka–Łojasiewicz functions and mapping cylinder neighborhoods
(2022)
Journal Article
Three-dimensional Alexandrov spaces: A survey
(2022)
Book Chapter
Downloadable Citations
About Durham Research Online (DRO)
Administrator e-mail: dro.admin@durham.ac.uk
This application uses the following open-source libraries:
SheetJS Community Edition
Apache License Version 2.0 (http://www.apache.org/licenses/)
PDF.js
Apache License Version 2.0 (http://www.apache.org/licenses/)
Font Awesome
SIL OFL 1.1 (http://scripts.sil.org/OFL)
MIT License (http://opensource.org/licenses/mit-license.html)
CC BY 3.0 ( http://creativecommons.org/licenses/by/3.0/)
Powered by Worktribe © 2024
Advanced Search