Geodesic
Killing spinor-valued forms and the cone construction
Archivum mathematicum, Tome 52 (2016) no. 5, pp. 341-355.

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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.
DOI : 10.5817/AM2016-5-341
Classification : 35R01, 53C15, 53C27, 81R25
Keywords: pseudo-Riemannian spin manifolds; Killing type equations; cone construction; spinor-valued differential forms 
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Somberg, Petr; Zima, Petr. Killing spinor-valued forms and the cone construction. Archivum mathematicum, Tome 52 (2016) no. 5, pp. 341-355. doi : 10.5817/AM2016-5-341. http://geodesic.mathdoc.fr/articles/10.5817/AM2016-5-341/

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