On symplectic invariants of planar 3-webs
| dc.contributor.author | Nadiia Konovenko | |
| dc.date.accessioned | 2023-05-10T13:23:08Z | |
| dc.date.available | 2023-05-10T13:23:08Z | |
| dc.date.issued | 2022 | |
| dc.description.abstract | The classical web geometry [1,3,4] studies invariants of foliation families with respect to pseudogroup of diffeomorphisms. Thus for the case of planar 3-webs the basic semi invariant is the Blaschke curvature, [2]. It is also curvature of the Chern connection [4] that are naturally associated with a planar 3-web.
 In this paper we investigate invariants of planar 3-webs with respect to group of symplectic diffeomorphisms. We found the basic symplectic invariants of planar 3-webs that allow us to solve the symplectic equivalence problem for planar 3-webs in general position. The Lie-Tresse theorem, [4], gives the complete description of the field of rational symplectic differential invariants of planar 3-webs. We also give normal forms for homogeneous 3-webs, i.e. 3-webs having constant basic invariants. | |
| dc.identifier.issn | 2409-8906 | |
| dc.identifier.uri | https://card-file.ontu.edu.ua/handle/123456789/25002 | |
| dc.source | Proceedings of the International Geometry Center | |
| dc.title | On symplectic invariants of planar 3-webs |