4 papers
Locally conformally homogeneous Lorentzian spaces
Thomas Leistner, Lilia Mehidi, Abdelghani Zeghib
We study locally conformally homogeneous Lorentzian manifolds of dimension at least , admitting an essential pseudo-group of local conformal transformations. Generalizing a rece…
Conformal Killing tensors and their Killing scales
A. Rod Gover, Jonathan Kress, Thomas Leistner
We address the problem of how to characterise when a rank-two conformal Killing tensor is the trace-free part of a Killing tensor for a metric in the conformal class. We call such…
Lorentzian homogeneous structures with indecomposable holonomy
Steven Greenwood, Thomas Leistner
For a Lorentzian homogeneous space, we study how algebraic conditions on the isotropy group affect the geometry and curvature of the homogeneous space. More specifically, we prove…
Killing vector fields on semi-Riemannian product manifolds
Federico Costanza, Thomas Leistner
Hano's theorem states that the space of Killing vector fields of a complete simply connected Riemannian manifold is isomorphic to the direct sum of the Killing vector fields of the…