On Haantjes tensors for second-order superintegrable systems
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866912903849836544 |
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| author | Marquette, Ian McLeod, Damien Scapucci, Serena Vollmer, Andreas |
| author_facet | Marquette, Ian McLeod, Damien Scapucci, Serena Vollmer, Andreas |
| contents | The vanishing of the Haantjes tensor is an important property that has been linked, for instance, to the existence of separation coordinates and the integrability of systems of hydrodynamic type. We discuss the vanishing of the Haantjes tensor for operator fields that admit a large number of so-called conservation laws. In particular, we investigate Haantjes-zero Killing tensor fields that are associated with second-order superintegrable systems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_13007 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On Haantjes tensors for second-order superintegrable systems Marquette, Ian McLeod, Damien Scapucci, Serena Vollmer, Andreas Mathematical Physics Differential Geometry Exactly Solvable and Integrable Systems 70H06, 37J35 The vanishing of the Haantjes tensor is an important property that has been linked, for instance, to the existence of separation coordinates and the integrability of systems of hydrodynamic type. We discuss the vanishing of the Haantjes tensor for operator fields that admit a large number of so-called conservation laws. In particular, we investigate Haantjes-zero Killing tensor fields that are associated with second-order superintegrable systems. |
| title | On Haantjes tensors for second-order superintegrable systems |
| topic | Mathematical Physics Differential Geometry Exactly Solvable and Integrable Systems 70H06, 37J35 |
| url | https://arxiv.org/abs/2412.13007 |