On the Blaschke conjecture for 3-webs

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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.
LaTeX, 52 pages

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Differential Geometry, 53A60

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http://salesiana.dossiersoluciones.com/handle/123456789/99152

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0411460
 http://arxiv.org/abs/math/0411460
 J. Geom. Anal., 16 (2006) no. 1, 69-115

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arXiv