A Singularity Theorem for Twistor Spinors
Abstract
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 nontrivial 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.
 Publication:

arXiv Mathematics eprints
 Pub Date:
 September 2004
 arXiv:
 arXiv:math/0409136
 Bibcode:
 2004math......9136B
 Keywords:

 Mathematics  Differential Geometry;
 53C21;
 53A30;
 32C10
 EPrint:
 22 pages, extended version of math.DG/0409136