Legendre transformations of a class of generalized Frobenius manifolds and the associated integrable hierarchies
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866910710367256576 |
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| author | Liu, Si-Qi Qu, Haonan Zhang, Youjin |
| author_facet | Liu, Si-Qi Qu, Haonan Zhang, Youjin |
| contents | For two generalized Frobenius manifolds related by a Legendre-type transformation, we show that the associated integrable hierarchies of hydrodynamic type, which are called the Legendre-extended Principal Hierarchies, are related by a certain linear reciprocal transformation; we also show, under the semisimplicity condition, that the topological deformations of these Legendre-extended Principal Hierarchies are related by the same linear reciprocal transformation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_15496 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Legendre transformations of a class of generalized Frobenius manifolds and the associated integrable hierarchies Liu, Si-Qi Qu, Haonan Zhang, Youjin Mathematical Physics Differential Geometry Exactly Solvable and Integrable Systems For two generalized Frobenius manifolds related by a Legendre-type transformation, we show that the associated integrable hierarchies of hydrodynamic type, which are called the Legendre-extended Principal Hierarchies, are related by a certain linear reciprocal transformation; we also show, under the semisimplicity condition, that the topological deformations of these Legendre-extended Principal Hierarchies are related by the same linear reciprocal transformation. |
| title | Legendre transformations of a class of generalized Frobenius manifolds and the associated integrable hierarchies |
| topic | Mathematical Physics Differential Geometry Exactly Solvable and Integrable Systems |
| url | https://arxiv.org/abs/2411.15496 |