Zero sets of eigenspinors for generic metrics
- Let M be a closed connected spin manifold of dimension 2 or 3 with a fixed orientation and a fixed spin structure. We prove that for a generic Riemannian metric on M the non-harmonic eigenspinors of the Dirac operator are nowhere zero. The proof is based on a transversality theorem and the unique continuation property of the Dirac operator.
| Author details: | Andreas Hermann |
|---|---|
| ISSN: | 1019-8385 |
| ISSN: | 1944-9992 |
| Title of parent work (English): | Communications in analysis and geometry |
| Publisher: | International Press of Boston |
| Place of publishing: | Somerville |
| Publication type: | Article |
| Language: | English |
| Year of first publication: | 2014 |
| Publication year: | 2014 |
| Release date: | 2017/03/27 |
| Volume: | 22 |
| Issue: | 2 |
| Number of pages: | 42 |
| First page: | 177 |
| Last Page: | 218 |
| Organizational units: | Mathematisch-Naturwissenschaftliche Fakultät / Institut für Mathematik |
| Peer review: | Referiert |
