24 citations · 68 across the 7 of their papers we have counts for
6 papers · 1 filter
Modified conformal extensions
Matthias Hammerl, Katja Sagerschnig, Josef Šilhan +1
We present a geometric construction and characterization of -dimensional split-signature conformal structures endowed with a twistor spinor with integrable kernel. The construc…
Conformal Patterson-Walker metrics
Matthias Hammerl, Katja Sagerschnig, Josef Šilhan +2
The classical Patterson-Walker construction of a split-signature (pseudo-)Riemannian structure from a given torsion-free affine connection is generalized to a construction of a spl…
A Projective-to-Conformal Fefferman-Type Construction
Matthias Hammerl, Katja Sagerschnig, Josef Šilhan +2
We study a Fefferman-type construction based on the inclusion of Lie groups into . The construction associates a split-signature -confor…
Prolongation of symmetric Killing tensors and commuting symmetries of the Laplace operator
J. -P. Michel, P. Somberg, J. Šilhan
We determine the space of commuting symmetries of the Laplace operator on pseudo-Riemannian manifolds of constant curvature, and derive its algebra structure. Our construction is b…
Equivariant quantizations for AHS--structures
Andreas Cap, Josef Silhan
We construct an explicit scheme to associate to any potential symbol an operator acting between sections of natural bundles (associated to irreducible representations) for a so-cal…
The conformal Killing equation on forms -- prolongations and applications
A. Rod Gover, Josef Silhan
We construct a conformally invariant vector bundle connection such that its equation of parallel transport is a first order system that gives a prolongation of the conformal Killin…