A Canonical Frame for Nonholonomic Rank Two Distributions of Maximal Class
Differential Geometry
2007-05-23 v1
Abstract
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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Cite
@article{arxiv.math/0504319,
title = {A Canonical Frame for Nonholonomic Rank Two Distributions of Maximal Class},
author = {Boris Doubrov and Igor Zelenko},
journal= {arXiv preprint arXiv:math/0504319},
year = {2007}
}
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8 pages