Skew Killing spinors

Details Skew Killing spinors Skew Killing spinors

2011-10-10

arxiv.org/abs/1110.2061v1

Mathematics

Differential Geometry

Scientific paper

In this paper, we study the existence of a skew Killing spinor (see the definition below) 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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