Imaginary Killing Spinors in Lorenztian Geometry
Differential Geometry
2007-05-23 v1
Abstract
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 . Derived geometries include Brinkmann spaces, Lorentzian Einstein-Sasaki spaces and certain warped product structures. Exceptional cases with decomposable holonomy of the cone are possible.
Keywords
Cite
@article{arxiv.math/0302024,
title = {Imaginary Killing Spinors in Lorenztian Geometry},
author = {Felipe Leitner},
journal= {arXiv preprint arXiv:math/0302024},
year = {2007}
}
Comments
15 pages, 1 table