A note on real Killing spinors in Weyl geometry

Details A note on real Killing spinors in Weyl geometry A note on real Killing spinors in Weyl geometry

1999-12-15

arxiv.org/abs/math/9912115v1

Mathematics

Differential Geometry

Latex2.09, 5 pages

Scientific paper

10.1016/S0393-0440(00)00014-0

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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