Metrics of positive Ricci curvature on simply-connected manifolds of dimension 𝟔𝒌
DOKPE
- Reiser, Philipp ORCID University of Fribourg
- 2024
Published in:
- Journal of Topology. - Chichester, UK: Wiley. - 2024, vol. 17, no. 4, p. 1-50
English
A consequence of the surgery theorem of Gromov and Lawson is that every closed, simply-connected 6-manifold admits a Riemannian metric of positive scalar curvature. For metrics of positive Ricci curvature, it is widely open whether a similar result holds; there are no obstructions known for those manifolds to admit a metric of positive Ricci curvature, while the number of examples known is limited. In this article, we introduce a new description of certain 6𝑘-dimensional manifolds via labeled bipartite graphs and use an earlier result of the author to construct metrics of positive Ricci curvature on these manifolds. In this way, we obtain many new examples, both spin and nonspin, of 6𝑘-dimensional manifoldswith a metric of positive Ricci curvature.
- Faculty
- Faculté des sciences et de médecine
- Department
- Département de Mathématiques
- Language
-
- English
- Classification
- Mathematics
- License
- CC BY
- Open access status
- hybrid
- Identifiers
-
- DOI 10.1112/topo.70007
- ISSN 1753-8416
- ISSN 1753-8424
- Persistent URL
- https://folia.unifr.ch/unifr/documents/330423
Statistics
Document views: 9
File downloads:
- journaloftopology-2024-reiser-metricsofpositivericcicurvatureonsimplyconnectedmanifoldsofdimension6k6k.pdf: 16