Spinorial Characterization of CR Structures, I
Abstract
We characterize certain CR structures of arbitrary codimension (different from 3, 4 and 5) on Riemannian Spinc manifolds by the existence of a Spinc structure carrying a strictly partially pure spinor field. Furthermore, we study the geometry of Riemannian Spinc manifolds carrying a strictly partially pure spinor which satisfies the generalized Killing equation in prescribed directions.
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