| Full text | |
| Author(s): |
Agafonov, Sergey I.
Total Authors: 1
|
| Document type: | Journal article |
| Source: | LETTERS IN MATHEMATICAL PHYSICS; v. 110, n. 6 DEC 2019. |
| Web of Science Citations: | 0 |
| Abstract | |
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) | |
| FAPESP's process: | 18/20009-6 - Webs of maximal rank in mathematical physics |
| Grantee: | Serguei Agafonov |
| Support Opportunities: | Regular Research Grants |