Spaces of positive intermediate curvature metrics
- 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.
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| Author: | Georg FrenckORCiDGND, Jan-Bernhard Kordaß |
|---|---|
| URN: | urn:nbn:de:bvb:384-opus4-1048187 |
| Frontdoor URL | https://opus.bibliothek.uni-augsburg.de/opus4/104818 |
| ISSN: | 0046-5755OPAC |
| ISSN: | 1572-9168OPAC |
| Parent Title (English): | Geometriae Dedicata |
| Publisher: | Springer Science and Business Media LLC |
| Type: | Article |
| Language: | English |
| Year of first Publication: | 2021 |
| Publishing Institution: | Universität Augsburg |
| Release Date: | 2023/06/15 |
| Tag: | Geometry and Topology |
| Volume: | 214 |
| Issue: | 1 |
| First Page: | 767 |
| Last Page: | 800 |
| DOI: | https://doi.org/10.1007/s10711-021-00635-w |
| Institutes: | Mathematisch-Naturwissenschaftlich-Technische Fakultät |
| Mathematisch-Naturwissenschaftlich-Technische Fakultät / Institut für Mathematik | |
| Mathematisch-Naturwissenschaftlich-Technische Fakultät / Institut für Mathematik / Lehrstuhl für Differentialgeometrie | |
| Dewey Decimal Classification: | 5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik |
| Licence (German): |  CC-BY 4.0: Creative Commons: Namensnennung (mit Print on Demand) |
