Skew Killing spinors |
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Authors: | Georges Habib Julien Roth |
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Affiliation: | 1.Faculty of Sciences II, Department of Mathematics,Lebanese University,Fanar-Matn,Lebanon;2.Laboratoire d’Analyse et de Mathématiques Appliquées,Université Paris-Est Marne-la-Vallée,Marne-la-Vallée, Cedex 2,France |
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Abstract: | ![]() We study the existence of a skew Killing spinor on 2- and 3-dimensional Riemannian spin manifolds. We establish the integrability conditions and prove that these spinor fields correspond to twistor spinors in the two dimensional case while, up to a conformal change of the metric, they correspond to parallel spinors in the three dimensional case. |
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