The Dirac spectrum on manifolds with gradient conformal vector fields
| Autor: | Andrei Moroianu, Sergiu Moroianu |
|---|---|
| Rok vydání: | 2007 |
| Předmět: |
Mathematics - Differential Geometry
Curl (mathematics) Gradient conformal vector fields Primary field Vector operator Dirac operator Mathematical analysis 58J50 58J20 Clifford analysis Dirac spectrum Continuous spectrum symbols.namesake Differential Geometry (math.DG) FOS: Mathematics symbols Hyperbolic manifolds Vector field Mathematics::Differential Geometry Analysis Mathematics Mathematical physics Vector potential |
| Zdroj: | Journal of Functional Analysis. 253:207-219 |
| ISSN: | 0022-1236 |
| DOI: | 10.1016/j.jfa.2007.04.013 |
| Popis: | We show that the Dirac operator on a spin manifold does not admit $L^2$ eigenspinors provided the metric has a certain asymptotic behaviour and is a warped product near infinity. These conditions on the metric are fulfilled in particular if the manifold is complete and carries a non-complete vector field which outside a compact set is gradient conformal and non-vanishing. Comment: 12 pages |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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