Line geometry of pairs of second-order Hamiltonian operators and quasilinear systems
Fuente:
arXiv
Enregistré dans:
| Auteurs principaux: | , , |
|---|---|
| Format: | Preprint |
| Publié: |
2024
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866914996304216064 |
|---|---|
| author | Gubbiotti, Giorgio van Geemen, Bert Vergallo, Pierandrea |
| author_facet | Gubbiotti, Giorgio van Geemen, Bert Vergallo, Pierandrea |
| contents | We demonstrate that a pair consisting of a second-order homogeneous Hamiltonian structure in $N$ components and its associated system of conservation laws is in bijective correspondence with an alternating three-form on a $N+2$-dimensional vector space. Additionally, we show that the three-form offers $N+2$ linear equations in the Plücker coordinates that define the associated line congruence. We utilize these results to characterize systems of conservation laws with second-order structure for $N\leq 4$. We finally comment how to extend this result for $N=6$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_09152 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Line geometry of pairs of second-order Hamiltonian operators and quasilinear systems Gubbiotti, Giorgio van Geemen, Bert Vergallo, Pierandrea Mathematical Physics We demonstrate that a pair consisting of a second-order homogeneous Hamiltonian structure in $N$ components and its associated system of conservation laws is in bijective correspondence with an alternating three-form on a $N+2$-dimensional vector space. Additionally, we show that the three-form offers $N+2$ linear equations in the Plücker coordinates that define the associated line congruence. We utilize these results to characterize systems of conservation laws with second-order structure for $N\leq 4$. We finally comment how to extend this result for $N=6$. |
| title | Line geometry of pairs of second-order Hamiltonian operators and quasilinear systems |
| topic | Mathematical Physics |
| url | https://arxiv.org/abs/2403.09152 |