Harmonic spinors on axisymmetric 3-manifolds with Melvin ends
  We prove the existence of harmonic spinor fields in axisymmetric Riemannian 3-manifolds having nonnegative scalar curvature and asymptotic to the usual constant time hypersurface of Melvin's magnetic universe. Such a spinor can be used in the proof of the uniqueness of the magnetized Schwarzschild solution. 
A.K.M. Masood-ul-Alam and Qizhi Wang
math-ph math.DG math.MP