Twistor Spinors with Zeros on Compact Orbifolds

Florin Belgun, Nicolas Ginoux, and Hans-Bert Rademacher

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Submission date: 01. Dec. 2004
Pages: 19
published in: Annales de l'Institut Fourier, 57 (2007) 4, p. 1135-1159 
DOI number (of the published article): 10.5802/aif.2289
Bibtex
with the following different title: A singularity theorem for twistor spinors
MSC-Numbers: 53C27, 53C05, 53C24, 53C25, 14E15
Keywords and phrases: orbifolds, twistor spinors, ale spaces
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Abstract:
We study compact spin orbifolds with finite singularity set carrying twistor-spinors. We show that any non-trivial twistor-spinor admits at most one zero which is singular unless the orbifold is conformally equivalent to a round sphere. We show the sharpness of our results through examples.