Parallel Spinors on Pseudo-Riemannian Spin C Manifolds
classification
🧮 math.DG
keywords
pseudo-riemannianmanifoldsparallelspinspincspinorsadmitcase
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We describe, by their holonomy groups, all complete simply connected irreducible non-locally symmetric pseudo-Riemannian SpinC manifolds which admit parallel spinors. So we generalize the Riemannian SpinC case and the pseudo-Riemannian Spin one.
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