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Killing spinor-valued forms and the cone construction

Petr Somberg, Petr Zima (2016)

Archivum Mathematicum

On a pseudo-Riemannian manifold 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 𝕄 and parallel fields on the metric cone over 𝕄 for spinor-valued forms.

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