Publications [#9815] of Robert Bryant

Papers Published

1. Pseudo-Riemannian metrics with parallel spinor fields and vanishing Ricci tensor, in Global Analysis and Harmonic Analysis, Séminaires & Congrès, vol. 4 (2000), pp. 53–93 [MR2002h:53082], [math.DG/0004073]
   (last updated on 2003/12/08)

   Abstract:
   I discuss geometry and normal forms for pseudo-Riemannian metrics with parallel spinor fields in some interesting dimensions. I also discuss the interaction of these conditions for parallel spinor fields with the condition that the Ricci tensor vanish (which, for pseudo-Riemannian manifolds, is not an automatic consequence of the existence of a nontrivial parallel spinor field).