# A singularity theorem for twistor spinors

#### Autoren: Florin Alexandru Belgun, Nicolas Ginoux, Hans-Bert Rademacher (2007)

We study spin structures on orbifolds. In particular, we show that if the singular set has codimension greater than 2, an orbifold is spin if and only if its smooth part is. On compact orbifolds, 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.

Zeitschrift:
Ann. Inst. Fourier
Verlag:
UJF Grenoble
Seiten:
1135-1159
Band:
57, no. 4

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