| Texto completo | |
| Autor(es): |
Agafonov, Sergey I.
Número total de Autores: 1
|
| Tipo de documento: | Artigo Científico |
| Fonte: | LETTERS IN MATHEMATICAL PHYSICS; v. 110, n. 6 DEC 2019. |
| Citações Web of Science: | 0 |
| Resumo | |
For one-dimensional systems of conservation laws admitting two additional conservation laws, we assign a ruled hypersurface of codimension two in projective space. We call two such systems dual if the corresponding ruled hypersurfaces are dual. We show that a Hamiltonian system is auto-dual, its ruled hypersurface sits in some quadric, and the generators of this ruled hypersurface form a Legendre submanifold with respect to the contact structure on Fano variety of this quadric. We also give a complete geometric description of 3-component nondiagonalizable systems of Temple class: such systems admit two additional conservation laws, they are dual to systems with constant characteristic speeds, constructed via maximal rank 3-webs of curves in space. (AU) | |
| Processo FAPESP: | 18/20009-6 - Webs de posto máximo em Física Matemática |
| Beneficiário: | Serguei Agafonov |
| Modalidade de apoio: | Auxílio à Pesquisa - Regular |