We study non-flat planar 3-webs with infinitesimal symmetry. Using multi-dimensional Schwarzian derivative we give a criterion for linearization of such webs and present a projective classification of linear non-flat symmetric 3-webs. Using this classification we show that the Gronwall conjecture is true for symmetric 3-webs.
Linearizable 3-webs and the Gronwall conjecture
Counterexample to Gronwall's Conjecture
Local classification of singular hexagonal 3-webs with holomorphic Chern connection and infinitesimal symmetries
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