Spaces of positive intermediate curvature metrics
Abstract:
In this paper we study spaces of Riemannian metrics with lower bounds on intermediate curvatures. We show that the spaces of metrics of positive p-curvature and k-positive Ricci curvature on a given high-dimensional Spin-manifold have many non-trivial homotopy groups provided that the manifold admits such a metric.
| Zugehörige Institution(en) am KIT | Institut für Algebra und Geometrie (IAG) |
| Publikationstyp | Zeitschriftenaufsatz |
| Publikationsjahr | 2021 |
| Sprache | Englisch |
| Identifikator | ISSN: 0046-5755, 1572-9168 KITopen-ID: 1000135778 |
| Erschienen in | Geometriae dedicata |
| Verlag | Springer |
| Band | 214 |
| Seiten | 767–800 |
| Vorab online veröffentlicht am | 23.06.2021 |
| Nachgewiesen in | Web of Science Dimensions Scopus |
| Relationen in KITopen |