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MiS Preprint
86/2004

Twistor Spinors with Zeros on Compact Orbifolds

Florin Belgun, Nicolas Ginoux and Hans-Bert Rademacher

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.

Received:
Dec 1, 2004
Published:
Dec 1, 2004
MSC Codes:
53C27, 53C05, 53C24, 53C25, 14E15
Keywords:
orbifolds, twistor spinors, ale spaces

Related publications

inJournal
2007 Repository Open Access
Florin Belgun, Nicolas Ginoux and Hans-Bert Rademacher

A singularity theorem for twistor spinors

In: Annales de l'Institut Fourier, 57 (2007) 4, pp. 1135-1159