A new example of a generic 2-distribution on a 5-manifold with large symmetry algebra
Differential Geometry
2013-06-03 v1
Abstract
We discover a new example of a generic rank 2-distribution on a 5-manifold with a 6-dimensional transitive symmetry algebra, which is not present in Cartan's classical five variables paper. It corresponds to the Monge equation z' = y + (y'')^(1/3) with invariant quartic having root type [4], and a 6-dimensional non-solvable symmetry algebra isomorphic to the semidirect product of sl(2) and the 3-dimensional Heisenberg algebra.
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Cite
@article{arxiv.1305.7297,
title = {A new example of a generic 2-distribution on a 5-manifold with large symmetry algebra},
author = {Boris Doubrov and Artem Govorov},
journal= {arXiv preprint arXiv:1305.7297},
year = {2013}
}
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6 pages