Eigenforms of the spin Laplacian and projectable spinors for principal bundles Original Research Article

Let π : P → Y be a principal bundle with compact connected structure group G over a compact spin manifold Y. We use a suitably chosen invariant spinor on G to define pull-back operator from the spin bundle on Y to the spin bundle on P and study when the pull-back of an eigenspinor on Y is an eigenspinor on P.