Killing spinor-valued forms and the cone construction
  On a pseudo-Riemannian manifold $\mathcal{M}$ we introduce a system of partial differential Killing type equations for spinor-valued differential forms, and study their basic properties. We discuss the relationship between solutions of Killing equations on $\mathcal{M}$ and parallel fields on the metric cone over $\mathcal{M}$ for spinor-valued forms. 
Petr Somberg, Petr Zima
math.DG math-ph math.AP math.MP math.RT