Gronwall's conjecture for 3-webs with infinitesimal symmetries
Differential Geometry
2019-03-05 v2
Abstract
We study non-flat planar 3-webs with infinitesimal symmetries. Using multi-dimensional Schwarzian derivative we give a criterion for linearization of such webs and present a projective classification thereof. Using this classification we show that the Gronwall conjecture is true for 3-webs admitting infinitesimal symmetries.
Keywords
Cite
@article{arxiv.1411.0874,
title = {Gronwall's conjecture for 3-webs with infinitesimal symmetries},
author = {Sergey I. Agafonov},
journal= {arXiv preprint arXiv:1411.0874},
year = {2019}
}
Comments
20 pages