• DOI:10.1007/S10455-012-9321-5
• Corpus ID: 17557169

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}
}

• Roger Nakad, J. Roth
• Published 14 March 2012
• Mathematics
• Annals of Global Analysis and Geometry

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 $${\mathbb{E}(\kappa, \tau)}$$. Real hypersurfaces of the complex projective space and the complex hyperbolic space are also characterized via Spinc spinors.