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arXiv · 1411.0874

Gronwall's conjecture for 3-webs with infinitesimal symmetries

Sergey I. Agafonov
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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.

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Sergey I. Agafonov. 2014-11-04. Gronwall's conjecture for 3-webs with infinitesimal symmetries. https://arxiv.org/abs/1411.0874

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