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arXiv · 2505.07368

Irreducible Killing and conformal Killing tensors on homogeneous plane waves

Jan Gregorovič·Lenka Zalabová
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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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Jan Gregorovič, Lenka Zalabová. 2025-05-12. Irreducible Killing and conformal Killing tensors on homogeneous plane waves. https://arxiv.org/abs/2505.07368

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