On the Blaschke conjecture for 3-webs
Differential Geometry
2007-05-23 v1
Abstract
We find relative differential invariants of orders eight and nine for a planar nonparallelizable 3-web such that their vanishing is necessary and sufficient for a 3-web to be linearizable. This solves the Blaschke conjecture for 3-webs. As a side result, we show that the number of linearizations in the Gronwall conjecture does not exceed fifteen and give criteria for rigidity of 3-webs.
Cite
@article{arxiv.math/0411460,
title = {On the Blaschke conjecture for 3-webs},
author = {Vladislav V. Goldberg and Valentin V. Lychagin},
journal= {arXiv preprint arXiv:math/0411460},
year = {2007}
}
Comments
LaTeX, 52 pages