# Hypersurfaces of Spinc Manifolds and Lawson Type Correspondence

@article{Nakad2012HypersurfacesOS, title={Hypersurfaces of Spinc Manifolds and Lawson Type Correspondence}, author={Roger Nakad and Julien Roth}, journal={Annals of Global Analysis and Geometry}, year={2012}, volume={42}, pages={421-442} }

Simply connected three-dimensional homogeneous manifolds $${\mathbb{E}(\kappa, \tau)}$$, with four-dimensional isometry group, have a canonical Spinc structure carrying parallel or Killing spinors. The restriction to any hypersurface of these parallel or Killing spinors allows to characterize isometric immersions of surfaces into $${\mathbb{E}(\kappa, \tau)}$$. As application, we get an elementary proof of a Lawson type correspondence for constant mean curvature surfaces in $${\mathbb{E}(\kappa…

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