6 papers
Prolongation and Killing two-tensors
Michael Eastwood, Thomas Leistner
We present a systematic prolongation procedure and its implementation for Killing two-tensors. We use the resulting machinery to elucidate the natural quadratic mapping from Killin…
Holonomy in pseudo-Hermitian geometry
Anton S. Galaev, Thomas Leistner, Felipe Leitner
We study the holonomy that is associated to a sub-Riemannian structure defined on the kernel of a global contact form. This includes the holonomy of Schouten's horizontal connectio…
Optical geometries
Anna Fino, Thomas Leistner, Arman Taghavi-Chabert
We study the notion of optical geometry, defined to be a Lorentzian manifold equipped with a null line distribution, from the perspective of intrinsic torsion. This is an instance…
Fundamental regions for non-isometric group actions
Thomas Leistner, Stuart Teisseire
We generalise results about isometric group actions on metric spaces and their fundamental regions to the context of merely continuous group actions. In particular, we obtain resul…
The range of a connection and a Calabi operator for Lorentzian locally symmetric spaces
Federico Costanza, Michael Eastwood, Thomas Leistner +1
For semi-Riemannian manifolds of constant sectional curvature, the Calabi operator is a second order linear differential operator that provides local integrability conditions for t…
A Calabi operator for Riemannian locally symmetric spaces
Federico Costanza, Michael Eastwood, Thomas Leistner +1
On a Riemannian manifold of constant curvature, the Calabi operator is a second order linear differential operator that provides local integrability conditions for the range of the…