A canonical frame for nonholonomic rank two distributions of maximal class
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abstract
In 1910 E. Cartan constructed the canonical frame and found the most symmetric case for maximally nonholonomic rank 2 distributions in 5. We solve the analogous problems for rank 2 distributions in n for arbitrary n > 5. Our method is a kind of symplectification of the problem and it is completely different from the Cartan method of equivalence. 2006 Acadmie des sciences. Published by Elsevier SAS. All rights reserved.