A Canonical Frame for Nonholonomic Rank Two Distributions of Maximal Class
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Date
2005
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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 R5. We solve the analogous problems for rank 2 distributions in Rn 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.
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C. R. Math. Acad. Sci. Paris 342 (2006) 589-594