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math.DG2016
Killing spinor-valued forms and the cone construction
Petr Somberg, Petr Zima
On a pseudo-Riemannian manifold we introduce a system of partial differential Killing type equations for spinor-valued differential forms, and study their basic prope…
math.DG2016
Projective structure, and the symplectic Dirac operator
Marie Holíková, Libor Křižka, Petr Somberg
Inspired by the results on symmetries of the symplectic Dirac operator, we realize symplectic spinor fields and the symplectic Dirac operator in the framework of (the double cover…