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arXiv · 1605.06947

Killing spinor-valued forms and the cone construction

Petr Somberg·Petr Zima
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Abstract

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.

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Petr Somberg, Petr Zima. 2016-05-23. Killing spinor-valued forms and the cone construction. https://arxiv.org/abs/1605.06947

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