A Canonical Frame for Nonholonomic Rank Two Distributions of Maximal Class

Details A Canonical Frame for Nonholonomic Rank Two Distributions of Maximal Class A Canonical Frame for Nonholonomic Rank Two Distributions of Maximal Class

2005-04-15

arxiv.org/abs/math/0504319v1

Mathematics

Differential Geometry

8 pages

Scientific paper

In 1910 E. Cartan constructed the canonical frame and found the most symmetric case for maximally nonholonomic rank 2 distributions on a 5-dimensional manifold. We solve the analogous problems for rank 2 distributions on an n-dimensional manifold for arbitrary n greater than 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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