Spinorial Characterization of CR Structures, I

Abstract

We characterize certain CR structures of arbitrary codimension (different from 3, 4 and 5) on Riemannian Spin${}^c$ manifolds by the existence of a Spin${}^c$ structure carrying a strictly partially pure spinor field. Furthermore, we study the geometry of Riemannian Spin${}^c$ manifolds carrying a strictly partially pure spinor which satisfies the generalized Killing equation in prescribed directions.

This paper has been withdrawn by the author. All results have been changed because we extended them to all co-dimensions. We changed completely the paper

References in corpus (4)

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