  Since the first work of Thomas Friedrich showing that isometric immersions of
Riemann surfaces are related to spinors and the Dirac equation, various works
appeared generalizing this approach to more general Spin-manifolds, in
particular the case of submanifolds of Spin-manifolds of constant curvature. In
the present work we investigate the case of submanifolds of SpinC-manifolds of
constant curvature.
