Imaginary Killing Spinors in Lorenztian Geometry

Felipe Leitner

Imaginary Killing Spinors in Lorenztian Geometry

微分几何 2007-05-23 v1

作者: Felipe Leitner

摘要

We study the geometric structure of Lorentzian spin manifolds, which admit imaginary Killing spinors. The discussion is based on the cone construction and a normal form classification of skew-adjoint operators in signature $(2,n-2)$ . Derived geometries include Brinkmann spaces, Lorentzian Einstein-Sasaki spaces and certain warped product structures. Exceptional cases with decomposable holonomy of the cone are possible.

关键词

killing spinors lorentzian geometry holonomy

引用

@article{arxiv.math/0302024,
  title  = {Imaginary Killing Spinors in Lorenztian Geometry},
  author = {Felipe Leitner},
  journal= {arXiv preprint arXiv:math/0302024},
  year   = {2007}
}

备注

15 pages, 1 table

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