Irreducible Killing and conformal Killing tensors on homogeneous plane waves

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.

25 pages, ancillary Maple file