Twistor spinors with zero on Lorentzian 5-space
arXiv:math/0602622 · doi:10.1007/s00220-007-0326-z
Abstract
We present in this paper a -metric on an open neighbourhood of the origin in $\RR^{5}$. The metric is of Lorentzian signature and admits a solution to the twistor equation for spinors with a unique isolated zero at the origin. The metric is not conformally flat in any neighbourhood of the origin. The construction is based on the Eguchi-Hanson metric with parallel spinors on Riemannian 4-space.
17 pages