Imaginary Killing spinors in Lorentzian geometry
Imaginary Killing spinors in Lorentzian geometry
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,nā2). Derived geometries include Brinkmann spaces, Lorentzian EinsteināSasaki spaces and certain warped product structures. Exceptional cases with decomposable ā¦