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Pseudo-Riemannian metrics with parallel spinor fields and vanishing Ricci tensor

Publication ,  Chapter
Bryant, RL
April 11, 2000

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).

Duke Scholars

Publication Date

April 11, 2000
 

Publication Date

April 11, 2000