On the Blaschke conjecture for 3-webs

Vladislav V. Goldberg; Valentin V. Lychagin

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On the Blaschke conjecture for 3-webs

Vladislav V. Goldberg·Valentin V. Lychagin

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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.

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BibTeX RIS

Vladislav V. Goldberg, Valentin V. Lychagin. 2004-11-21. On the Blaschke conjecture for 3-webs. https://arxiv.org/abs/math/0411460

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