Twistor spinors with zero on Lorentzian 5-space

Felipe Leitner

doi:10.1007/s00220-007-0326-z

Twistor spinors with zero on Lorentzian 5-space

微分几何 2009-11-11 v1

作者: Felipe Leitner

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摘要

We present in this paper a $C^1$ -metric on an open neighbourhood of the origin in $\RR^{5}$ . The metric is of Lorentzian signature $(1,4)$ 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.

引用

@article{arxiv.math/0602622,
  title  = {Twistor spinors with zero on Lorentzian 5-space},
  author = {Felipe Leitner},
  journal= {arXiv preprint arXiv:math/0602622},
  year   = {2009}
}

备注

17 pages

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