12 citations · 47 across the 11 of their papers we have counts for
5 papers · 2 filters
Cauchy problems for Lorentzian manifolds with special holonomy
Helga Baum, Thomas Leistner, Andree Lischewski
On a Lorentzian manifold the existence of a parallel null vector field implies certain constraint conditions on the induced Riemannian geometry of a space-like hypersurface. We wil…
Computation of generalized Killing spinors on reductive homogeneous spaces
Andree Lischewski
We determine the holonomy of generalized Killing spinor covariant derivatives of the form on pseudo-Riemannian reductive homogeneous spaces in a purely algebraic an…
Conformal superalgebras via tractor calculus
Andree Lischewski
We use the manifestly conformally invariant description of a Lorentzian conformal structure in terms of a parabolic Cartan geometry in order to introduce a superalgebra structure o…
Reducible conformal holonomy in any metric signature and application to twistor spinors in low dimension
Andree Lischewski
We prove that given a pseudo-Riemannian conformal structure whose conformal holonomy representation fixes a totally lightlike subspace of arbitrary dimension, there is, wrt. a loca…
Charged Conformal Killing Spinors
Andree Lischewski
We study the twistor equation on pseudo-Riemannian manifolds whose solutions we call charged conformal Killing spinors (CCKS). We derive several integrability conditions f…