Linearizable 3-webs and the Gronwall conjecture
| dc.creator | Grifone, Joseph | |
| dc.creator | Muzsnay, Zoltan | |
| dc.creator | Saab, Jihad | |
| dc.date | 2006-02-23 | |
| dc.date.accessioned | 2026-07-07T07:03:43Z | |
| dc.date.available | 2026-07-07T07:03:43Z | |
| dc.description | In the article "On the linearizability of 3-webs" (Nonlinear analysis 47, (2001) pp.2643-2654), published in 2001, we studied the linearizability problem for 3-webs on a 2-dimensional manifold. Four years after the publication of our article, V.V.Goldberg and V.V.Lychagin in the paper "On linearization of planar three-webs and Blaschke's conjecture" (C.R.Acad. Sci. Paris, Ser. I. vol. 341. num 3 (2005)) obtained similar results by a different method and criticized our article by qualifying the proofs incomplete. However, they obtained false result on the linearizability of a certain web. We present here the complete version of our work with computations and explicit formulas, because we deem that their opinion concerning our work is unjustified. | |
| dc.description | 14 pages | |
| dc.identifier | https://arxiv.org/abs/math/0602535 | |
| dc.identifier | http://arxiv.org/abs/math/0602535 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/109085 | |
| dc.subject | Differential Geometry | |
| dc.subject | 53A60, 53C36 | |
| dc.title | Linearizable 3-webs and the Gronwall conjecture | |
| dc.type | text |