12 citations · 47 across the 11 of their papers we have counts for
11 papers
Hyperbolic evolution equations, Lorentzian holonomy, and Riemannian generalised Killing spinors
Thomas Leistner, Andree Lischewski
We prove that the Cauchy problem for parallel null vector fields on smooth Lorentzian manifolds is well posed. The proof is based on the derivation and analysis of suitable hyperbo…
Conformal Walker metrics and linear Fefferman-Graham equations
Ian M Anderson, Thomas Leistner, Andree Lischewski +1
The conformal Fefferman-Graham ambient metric construction is one of the most fundamental constructions in conformal geometry. It embeds a manifold with a conformal structure into…
The ambient obstruction tensor and conformal holonomy
Thomas Leistner, Andree Lischewski
For a conformal manifold, we describe a new relation between the ambient obstruction tensor of Fefferman and Graham and the holonomy of the normal conformal Cartan connection. This…
(M-theory-)Killing spinors on symmetric spaces
Noel Hustler, Andree Lischewski
We show how the theory of invariant principal bundle connections for reductive homogeneous spaces can be applied to determine the holonomy of generalised Killing spinor covariant d…
The Cauchy problem for parallel spinors as first-order symmetric hyperbolic system
Andree Lischewski
We prove that a smooth Riemannian manifold admitting an imaginary generalized Killing spinor whose Dirac current satisfies an additional algebraic constraint condition can be embed…
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…
Towards a Classification of pseudo-Riemannian Geometries Admitting Twistor Spinors
Andree Lischewski
We show that given a conformal structure whose holonomy representation fixes a totally lightlike subspace of arbitrary dimension, there is always a local metric in the conformal cl…