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math.DG2024
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…
math.DG2024
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…