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We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

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