On the problem of linearizability of a 3-web
| dc.creator | Muzsnay, Zoltan | |
| dc.date | 2006-02-23 | |
| dc.date.accessioned | 2026-07-07T07:03:44Z | |
| dc.date.available | 2026-07-07T07:03:44Z | |
| dc.description | In this paper we study the linearizability problem for 3-webs on a 2-dimensional manifold. With an explicit computation based on the theory developed in the paper "On the linearizability of 3-webs" (Nonlinear analysis 47, (2001) pp. 2643-2654), we examine a 3-web whose linearizability was claimed in the same paper. We show that, contrary to the statement of the papers "On the Blaschke conjecture for 3-webs" (arXiv: math.DG/0411460) and "On linearization of planar three-webs and Blaschke's conjecture", (C.R.Acad. Sci. Paris, Ser. I. vol. 341. num 3 (2005)), this particular web is linearizable. We compute explicitly the affine deformation tensor and the corresponding flat linear connection adapted to the web which linearizes it. | |
| dc.description | 9 pages | |
| dc.identifier | https://arxiv.org/abs/math/0602536 | |
| dc.identifier | http://arxiv.org/abs/math/0602536 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/109086 | |
| dc.subject | Differential Geometry | |
| dc.subject | 53A60, 53C36 | |
| dc.title | On the problem of linearizability of a 3-web | |
| dc.type | text |