Rank-2 distributions satisfying the Goursat condition : all their local models in dimension 7 and 8
Rank-2 distributions satisfying the Goursat condition: all their local models in dimension 7 and 8
We study the rank–2 distributions satisfying so-called Goursat condition (GC); that is to say, codimension–2 differential systems forming with their derived systems a flag. Firstly, we restate in a clear way the main result of[7] giving preliminary local forms of such systems. Secondly – and this is the main part of the paper – in dimension 7 and 8 we explain which constants in those local forms can be made 0, normalizing the remaining ones to 1. All constructed equivalences are explicit. ...
Abnormal curves on the Goursat systems of .
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