Gronwall's conjecture for 3-webs with infinitesimal symmetries
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2020-01-01
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Agafonov, Sergey I. [UNESP]
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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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Communications in Analysis and Geometry, v. 28, n. 3, p. 519-545, 2020.