The gap phenomenon in the dimension study of finite type systems

Details The gap phenomenon in the dimension study of finite type systems The gap phenomenon in the dimension study of finite type systems

2011-11-27

arxiv.org/abs/1111.6315v2

Mathematics

Differential Geometry

The complete description of the structure of equivalence classes of rank 2 distributions with 7-dimensional symmetry algebra (

Scientific paper

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.

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