Parallal Spinors on Pseudo-Riemannian SpinC Manifolds
classification
🧮 math.DG
math-phmath.MP
keywords
pseudo-riemannianmanifoldsspincspinorsadmitcaseconnecteddescribe
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We describe, by their holonomy groups, all simply connected irreducible non-locally symmetric pseudo-Riemannian SpinC manifolds which admit parallel spinors. So we generalise the Riemannian case and the pseudo-Riemannian one.
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