Asymptotically Euclidean manifolds and twistor spinors
Wolfgang Kühnel and Hans-Bert Rademacher
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Submission date: 06. Oct. 1997
published in: Communications in mathematical physics, 196 (1998) 1, p. 67-76
DOI number (of the published article): 10.1007/s002200050414
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Based on the Berger-Simons holonomy classification, we classify 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. The metric is conformal to either a flat metric or a Ricci flat and locally irreducible metric.