| Autor: |
Gubbiotti, Giorgio, van Geemen, Bert, Vergallo, Pierandrea |
| Rok vydání: |
2024 |
| Předmět: |
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| Druh dokumentu: |
Working Paper |
| Popis: |
We show that a pair formed by a second-order homogeneous Hamiltonian structures in $N$ components and the associated system of conservation laws is in bijective correspondence with an alternating three-form on a $N+2$ vector space. We use this result to characterise these pairs up to $N=4$. We also show that the three-form provides $N+2$ linear equations in the Pl\"ucker coordinates which define the associated line congruence. |
| Databáze: |
arXiv |
| Externí odkaz: |
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