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Irreducible Killing and conformal Killing tensors on homogeneous plane waves (2505.07368v1)
Published 12 May 2025 in math.DG, math-ph, and math.MP
Abstract: 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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