A note on real Killing spinors in Weyl geometry
微分几何
2009-10-31 v1
摘要
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.
关键词
引用
@article{arxiv.math/9912115,
title = {A note on real Killing spinors in Weyl geometry},
author = {Volker Buchholz},
journal= {arXiv preprint arXiv:math/9912115},
year = {2009}
}
备注
Latex2.09, 5 pages