3 papers
math.DG2026
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…
math.DG2025
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…
math.DG2025
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…