Irreducible Killing and conformal Killing tensors on homogeneous plane waves
Jan Gregorovi\v{c}, Lenka Zalabov\'a
TL;DR
This paper classifies irreducible Killing and conformal Killing 2-tensors on homogeneous plane waves, providing explicit formulas and conditions for their existence using BGG operators.
Contribution
It offers a detailed classification and explicit formulas for these tensors on homogeneous plane waves, advancing understanding of their geometric properties.
Findings
Explicit formulas for Killing and conformal Killing tensors
Conditions for existence of these tensors on homogeneous plane waves
Enhanced understanding of tensor structures in Lorentzian geometry
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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Taxonomy
TopicsNonlinear Waves and Solitons · Geometric Analysis and Curvature Flows · Advanced Differential Geometry Research