EIGENFORMS OF THE SPIN LAPLACIAN AND PROJECTABLE SPINORS FOR PRINCIPAL BUNDLES

Let pi : P --> Y be a principal bundle with compact connected structur e group G over a compact spin manifold Y. We use a suitably chosen inv ariant spinor on G to define a pull-back operator from the spin bundle on Y to the spin bundle on P and study when the pull-back of an eigen spinor on Y is an eigenspinor on P. (C) 1998 Elsevier Science B.V.