Riemannian Metrics and Harmonic Sections of Spinor Bundles
  We study the clustering of the lowest non negative eigenvalue of the Dirac operator on a general Dirac bundle when the metric structure is varied. In the classical case we show that any closed spin manifold of dimension greater than or equal to four has a Riemannian metric admitting non trivial harmonic spinors. 
Simone Farinelli
math.DG math.FA