Parallel Spinors on Pseudo-Riemannian Spin C Manifolds

Mathematics – Differential Geometry

Scientific paper

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Scientific paper

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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