Abstract
This paper is a survey of recent results about conformal Killing spinors in Lorentzian geometry based on a lecture given during the Summer Program Symmetries and Overdetermined Systems of Partial Differential Equations at IMA, Minnesota, 17.07.06 – 04.08.06. In particular, we will focus on a special class of geometries admitting conformai Killing spinors — on Brinkmann spaces with parallel spinors. We will discuss their holonomy groups and the global realizability as globally hyperbolic spaces with complete Cauchy surfaces.
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Baum, H. (2008). Conformal Killing Spinors and the Holonomy Problem in Lorentzian Geometry — A Survey of New Results —. In: Eastwood, M., Miller, W. (eds) Symmetries and Overdetermined Systems of Partial Differential Equations. The IMA Volumes in Mathematics and its Applications, vol 144. Springer, New York, NY. https://doi.org/10.1007/978-0-387-73831-4_11
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DOI: https://doi.org/10.1007/978-0-387-73831-4_11
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