Spinorial Characterization of CR Structures, I
Differential Geometry
2016-11-11 v5
Abstract
We characterize certain CR structures of arbitrary codimension (different from 3, 4 and 5) on Riemannian Spin manifolds by the existence of a Spin structure carrying a strictly partially pure spinor field. Furthermore, we study the geometry of Riemannian Spin manifolds carrying a strictly partially pure spinor which satisfies the generalized Killing equation in prescribed directions.
Cite
@article{arxiv.1208.1943,
title = {Spinorial Characterization of CR Structures, I},
author = {Rafael Hererra and Roger Nakad},
journal= {arXiv preprint arXiv:1208.1943},
year = {2016}
}
Comments
This paper has been withdrawn by the author.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