Spinorial Characterization of CR Structures, I

2012/08/09 by Hererra, Rafael, Nakad, Roger
#32V05 #53B35 #53C27 #53D10 #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1208.1943

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.

Related

• Spinorially twisted Spin structures, III: CR structures
• Semi-Riemannian spin^c manifolds carrying generalized Killing spinors and the classification of Riemannian spin^c manifolds admitting a type I imaginary generalized Killing spinor
• Complex Generalized Killing Spinors on Riemannian Spin^c manifolds
• Locally CR Spherical Three Manifolds
• Immersion in ℝⁿ by complex spinors