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
Citation
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Bryant, R. L. (2000). Pseudo-Riemannian metrics with parallel spinor fields and vanishing
Ricci tensor.
Bryant, Robert L. “Pseudo-Riemannian metrics with parallel spinor fields and vanishing
Ricci tensor,” 2000.
Bryant RL. Pseudo-Riemannian metrics with parallel spinor fields and vanishing
Ricci tensor. In 2000.
Bryant, Robert L. Pseudo-Riemannian metrics with parallel spinor fields and vanishing
Ricci tensor. 2000.
Publication Date
April 11, 2000