Math @ Duke

Publications [#318270] of Robert Bryant
search www.ams.org.Papers Published
 Bryant, RL, PseudoRiemannian metrics with parallel spinor fields and vanishing
Ricci tensor,
in Global analysis and harmonic analysis (MarseilleLuminy, 1999), Séminaires & Congrès, edited by Bourguinon, JP; Branson, T; Hijazi, O, vol. 4
(2000),
pp. 5394, Société Mathématique de France, ISBN 2856290949 [MR2002h:53082], [math.DG/0004073]
(last updated on 2018/03/17)
Abstract: I discuss geometry and normal forms for pseudoRiemannian 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 pseudoRiemannian manifolds, is not an
automatic consequence of the existence of a nontrivial parallel spinor field).


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