Imaginary Killing Spinors in Lorenztian Geometry

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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.
15 pages, 1 table

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Differential Geometry, 53C15; 53C50

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http://salesiana.dossiersoluciones.com/handle/123456789/66430

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0302024
 http://arxiv.org/abs/math/0302024

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arXiv