42 citations · 347 across the 35 of their papers we have counts for
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math.DG2005★ 37 cited
Screen bundles of Lorentzian manifolds and some generalisations of pp-waves
Thomas Leistner
A pp-wave is a Lorentzian manifold with a parallel light-like vector field satisfying a certain curvature condition. We introduce generalisations of pp-waves, on one hand by allowi…
math.DG2005★ 2 cited
Irreducibly acting subgroups of $Gl(n,\rr)$
Antonio J. Di Scala, Thomas Leistner, Thomas Neukirchner
In this note we prove the following three algebraic facts which have applications in the theory of holonomy groups and homogeneous spaces: Any irreducibly acting connected subgroup…
math.DG2005
Conformal holonomy of C-spaces, Ricci-flat, and Lorentzian manifolds
Thomas Leistner
The main result of this paper is that a Lorentzian manifold is locally conformally equivalent to a manifold with recurrent lightlike vector field and totally isotropic Ricci tensor…