T
Thomas Leistner
Researcher at University of Adelaide
Publications - 60
Citations - 1086
Thomas Leistner is an academic researcher from University of Adelaide. The author has contributed to research in topics: Holonomy & Manifold. The author has an hindex of 20, co-authored 58 publications receiving 1013 citations.
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Journal ArticleDOI
Cones over pseudo-Riemannian manifolds and their holonomy
TL;DR: In this paper, the authors consider metric cones with reducible holonomy over pseudo-Riemannian manifolds and show that the holonomy algebra of the base is always the full pseudo-orthogonal Lie algebra.
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Conformal holonomy of C-spaces, Ricci-flat, and Lorentzian manifolds
TL;DR: The main result of as mentioned in this paper is that a Lorentzian manifold is locally conformally equivalent to a manifold with recurrent light-like vector field and Ricci tensor if and only if its conformal tractor holonomy admits a 2-dimensional totally isotropic invariant subspace.
BookDOI
Holonomy groups of Lorentzian manifolds: classification,examples, and applications
Anton S. Galaev,Thomas Leistner +1 more
TL;DR: In this article, the authors present a list of indecomposable, non-irreducible Lorentzian holonomy groups, explain the idea of its proof, and describe a method of constructing metrics which realize all the possible groups.
Journal ArticleDOI
Screen bundles of Lorentzian manifolds and some generalisations of pp-waves
TL;DR: In this article, the authors introduced generalisations of pp-waves, on one hand by allowing the vector field to be recurrent and on the other hand by weakening the curvature condition, which can be expressed in terms of the screen bundle of the manifold and how they are related to the screen holonomy.