Abstract:
Based on the Berger–Simons holonomy classification, we characterize all Riemannian spin manifolds carrying a twistor spinor with at least one zero. In particular, the dimension n of the manifold is either even or n=7. Outside the set of zeros of the twistor spinor the metric is conformal to either a flat metric or a Ricci flat and locally irreducible metric.
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Received: 25 July 1997 / Accepted: 8 January 1998
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Kühnel, W., Rademacher, HB. Asymptotically Euclidean Manifolds and Twistor Spinors . Comm Math Phys 196, 67–76 (1998). https://doi.org/10.1007/s002200050414
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DOI: https://doi.org/10.1007/s002200050414