26 citations · 148 across the 44 of their papers we have counts for
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Killing spinor-valued forms and their integrability conditions
Petr Somberg, Petr Zima
We study invariant systems of PDEs defining Killing vector-valued forms, and then we specialize to Killing spinor-valued forms. We give a detailed treatment of their prolongation a…
Higher symmetries of symplectic Dirac operator
Petr Somberg, Josef Šilhan
We construct in projective differential geometry of the real dimension higher symmetry algebra of the symplectic Dirac operator ${D}\kern-0.5em\raise0.22ex\hbox{/}_s$ acting on…
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…
Conformal symmetry breaking differential operators on differential forms
M. Fischmann, A. Juhl, P. Somberg
We study conformal symmetry breaking differential operators which map differential forms on to differential forms on a codimension one subspace . T…
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…
The boundary value problem for Laplacian on differential forms and conformally Einstein infinity
Matthias Fischmann, Petr Somberg
We completely resolve the boundary value problem for differential forms and conformally Einstein infinity in terms of the dual Hahn polynomials. Consequently, we produce explicit f…