Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4592071 | Journal of Functional Analysis | 2007 | 13 Pages |
Abstract
We show that the Dirac operator on a spin manifold does not admit L2 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.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory