A Singularity Theorem for Twistor Spinors

Details A Singularity Theorem for Twistor Spinors A Singularity Theorem for Twistor Spinors

2004-09-08

arxiv.org/abs/math/0409136v3

Mathematics

Differential Geometry

22 pages, extended version of math.DG/0409136

Scientific paper

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.

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