Irreducible Killing and conformal Killing tensors on homogeneous plane waves
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866910938316144640 |
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| author | Gregorovič, Jan Zalabová, Lenka |
| author_facet | Gregorovič, Jan Zalabová, Lenka |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_07368 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Irreducible Killing and conformal Killing tensors on homogeneous plane waves Gregorovič, Jan Zalabová, Lenka Differential Geometry Mathematical Physics 53C18, 53C30, 53B30, 58J70, 58J60 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. |
| title | Irreducible Killing and conformal Killing tensors on homogeneous plane waves |
| topic | Differential Geometry Mathematical Physics 53C18, 53C30, 53B30, 58J70, 58J60 |
| url | https://arxiv.org/abs/2505.07368 |