Local Integrable Symmetries of Diffieties
Fuente:
arXiv
Guardado en:
| Autores principales: | , |
|---|---|
| Formato: | Preprint |
| Publicado: |
2026
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866910020541612032 |
|---|---|
| author | Ollivier, François Kaminski, Yirmeyahu J. |
| author_facet | Ollivier, François Kaminski, Yirmeyahu J. |
| contents | In the framework of diffieties, introduced by Vinogradov, we introduce integrable infinitesimal symmetries and show that they define a one parameter pseudogroup of local diffiety morphisms. We prove some preliminary results allowing to reduce the computation of integrable infinitesimal symmetries of a given order to solving a system of partial differential equations.We provide examples for which we can reduce to a linear system that can be solved by hand computation, and investigate some consequences for the local classification of diffiety, with a special interest for testing if a diffiety is flat. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_12103 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Local Integrable Symmetries of Diffieties Ollivier, François Kaminski, Yirmeyahu J. Differential Geometry Optimization and Control 34C41, 93C10, 12H05, 68W30, 13P10, In the framework of diffieties, introduced by Vinogradov, we introduce integrable infinitesimal symmetries and show that they define a one parameter pseudogroup of local diffiety morphisms. We prove some preliminary results allowing to reduce the computation of integrable infinitesimal symmetries of a given order to solving a system of partial differential equations.We provide examples for which we can reduce to a linear system that can be solved by hand computation, and investigate some consequences for the local classification of diffiety, with a special interest for testing if a diffiety is flat. |
| title | Local Integrable Symmetries of Diffieties |
| topic | Differential Geometry Optimization and Control 34C41, 93C10, 12H05, 68W30, 13P10, |
| url | https://arxiv.org/abs/2602.12103 |