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math.DG2022
Progress on the Kundt conjecture
Matthew Aadne, Lode Wylleman
The Kundt conjecture states that a Lorentzian manifold of arbitrary dimension which is not characterized by its scalar polynomial curvature invariants (SPIs) allows for a non-twist…
math.DG2019
Nil-Killing vector fields and type III deformations
Matthew Aadne
This paper is concerned with deformations of Kundt metrics in the direction of type tensors and nil-Killing vector fields whose flows give rise to such deformations. We find…
math.DG2019
Kundt Structures
Matthew Aadne
In this paper we consider a new approach to studying Kundt spacetimes through -structures. We define a Lie-group such that the -structures satisfying an integrability c…