Browsing by Subject "spinors"
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Item Open Access Pseudo-Reimannian metrics with parallel spinor fields and vanishing Ricci tensor(Global analysis and harmonic analysis (Marseille-Luminy, 1999), 2000) Bryant, RI 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).