This analysis reveals irreducible killing tensors in homogeneous plane waves, suggesting connections to Lorentzian metrics.
This paper presents a classification of irreducible Killing and conformal Killing 2-tensors on homogeneous plane waves, a specific class of Lorentzian metrics on four-dimensional manifolds. Using the framework of BGG operators, we derive explicit formulae for these tensors and identify the conditions under which they exist.
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Gregorovič et al. (2025) studied this question.
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