Spaces of positive scalar curvature metrics on totally nonspin manifolds with spin boundary
- In this article we study the space of positive scalar curvature metrics on totally nonspin manifolds with spin boundary. We prove that for such manifolds of certain dimensions, those spaces are not connected and have nontrivial fundamental group. Furthermore we show that a well-known propagation technique for detection results on spaces of positive scalar curvature metrics on spin manifolds ceases to work in the totally nonspin case.
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| Author: | Georg FrenckORCiDGND |
|---|---|
| URN: | urn:nbn:de:bvb:384-opus4-1046557 |
| Frontdoor URL | https://opus.bibliothek.uni-augsburg.de/opus4/104655 |
| ISSN: | 0025-5874OPAC |
| ISSN: | 1432-1823OPAC |
| Parent Title (German): | Mathematische Zeitschrift |
| Publisher: | Springer Science and Business Media LLC |
| Place of publication: | Berlin |
| Type: | Article |
| Language: | English |
| Year of first Publication: | 2023 |
| Publishing Institution: | Universität Augsburg |
| Release Date: | 2023/06/12 |
| Tag: | General Mathematics |
| Volume: | 304 |
| First Page: | 15 |
| DOI: | https://doi.org/10.1007/s00209-023-03270-1 |
| 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) |
