Imaginary Killing Spinors in Lorenztian Geometry

Details Imaginary Killing Spinors in Lorenztian Geometry Imaginary Killing Spinors in Lorenztian Geometry

2003-02-03

arxiv.org/abs/math/0302024v1

Mathematics

Differential Geometry

15 pages, 1 table

Scientific paper

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.

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