A note on real Killing spinors in Weyl geometry
arXiv:math/9912115 · doi:10.1016/S0393-0440(00)00014-0
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.
Latex2.09, 5 pages