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Keywords:
pseudo-Riemannian spin manifolds; Killing type equations; cone construction; spinor-valued differential forms
pseudo-Riemannian spin manifolds; Killing type equations; cone construction; spinor-valued differential forms
Summary:
On a pseudo-Riemannian manifold $\mathbb{M}$ 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 $\mathbb{M}$ and parallel fields on the metric cone over $\mathbb{M}$ for spinor-valued forms.
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