A Singularity Theorem for Twistor Spinors

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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.
22 pages, extended version of math.DG/0409136

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Differential Geometry, 53C21, 53A30, 32C10

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http://salesiana.dossiersoluciones.com/handle/123456789/100858

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0409136
 http://arxiv.org/abs/math/0409136

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arXiv