Publication details

Irreducible Killing and conformal Killing tensors on homogeneous plane waves

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Authors

GREGOROVIC Jan ZALABOVÁ Lenka

Year of publication 2025
Type Article in Periodical
Magazine / Source PHYSICA SCRIPTA
MU Faculty or unit

Faculty of Science

Citation
web https://iopscience.iop.org/article/10.1088/1402-4896/adfe28
Doi https://doi.org/10.1088/1402-4896/adfe28
Keywords homogeneous conformal geometry; first BGG operator; (conformal) Killing vectors; irreducible (conformal) Killing tensors
Description 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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