Parallal Spinors on Pseudo-Riemannian SpinC Manifolds

Mathematics – Differential Geometry

Scientific paper

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Scientific paper

10.1016/j.geomphys.2005.07.005

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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