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A note on real Killing spinors in Weyl geometry

Volker Buchholz
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Abstract

This text is dedicated to the real Killing equation on 3-dimensional Weyl manifolds. Any manifold admitting a real Killing spinor of weight 0 satisfies the conditions of a Gauduchon-Tod geometry. Conversely, any simply connected Gauduchon-Tod geometry has a 2-dimensional space of solutions of the real Killing equation on the spinor bundle of weight 0.

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Volker Buchholz. 1999-12-15. A note on real Killing spinors in Weyl geometry. https://doi.org/10.1016/s0393-0440(00)00014-0

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