The Dirac operator on generalized Taub-NUT spaces
| Autor: | Moroianu, Andrei, Moroianu, Sergiu |
|---|---|
| Rok vydání: | 2010 |
| Předmět: | |
| Zdroj: | Communications in Mathematical Physics 305, 641-656 (2011) |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1007/s00220-011-1263-4 |
| Popis: | We find sufficient conditions for the absence of harmonic $L^2$ spinors on spin manifolds constructed as cone bundles over a compact K\"ahler base. These conditions are fulfilled for certain perturbations of the Euclidean metric, and also for the generalized Taub-NUT metrics of Iwai-Katayama, thus proving a conjecture of Vi\csinescu and the second author. Comment: Final version, 16 pages |
| Databáze: | arXiv |
| Externí odkaz: |
|