تقرير
Line geometry of pairs of second-order Hamiltonian operators and quasilinear systems
| العنوان: | Line geometry of pairs of second-order Hamiltonian operators and quasilinear systems |
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| المؤلفون: | Gubbiotti, Giorgio, van Geemen, Bert, Vergallo, Pierandrea |
| سنة النشر: | 2024 |
| المجموعة: | Mathematics Mathematical Physics |
| مصطلحات موضوعية: | Mathematical Physics |
| الوصف: | 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. |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2403.09152 |
| رقم الأكسشن: | edsarx.2403.09152 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |