The gap phenomenon in the dimension study of finite type systems
Differential Geometry
2012-03-06 v2 Classical Analysis and ODEs
Abstract
In this paper several examples of gaps (lacunes) between dimensions of maximal and submaximal symmetric models are considered, which include investigation of number of independent linear and quadratic integrals of metrics and counting the symmetries of geometric structures and differential equations. A general result clarifying this effect in the case, when the structure is associated to a vector distribution, is proposed.
Keywords
Cite
@article{arxiv.1111.6315,
title = {The gap phenomenon in the dimension study of finite type systems},
author = {Boris Kruglikov},
journal= {arXiv preprint arXiv:1111.6315},
year = {2012}
}
Comments
The complete description of the structure of equivalence classes of rank 2 distributions with 7-dimensional symmetry algebra (enhancing the one of Cartan) is added in section 5