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The twistor equation in Lorentzian spin geometry

Differential Geometry 2007-05-23 v1

Abstract

In this paper we discuss the twistor equation in Lorentzian spin geometry. In particular, we explain the local conformal structure of Lorentzian manifolds, which admit twistor spinors inducing lightlike Dirac currents. Furthermore, we derive all local geometries with singularity free twistor spinors that occur up to dimension 7.

Keywords

Cite

@article{arxiv.math/0305063,
  title  = {The twistor equation in Lorentzian spin geometry},
  author = {Helga Baum and Felipe Leitner},
  journal= {arXiv preprint arXiv:math/0305063},
  year   = {2007}
}

Comments

20 pages