The twistor equation in Lorentzian spin geometry

Details The twistor equation in Lorentzian spin geometry The twistor equation in Lorentzian spin geometry

2003-05-04

arxiv.org/abs/math/0305063v1

Mathematics

Differential Geometry

20 pages

Scientific paper

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.

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