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The gap phenomenon in the dimension study of finite type systems (1111.6315v2)
Published 27 Nov 2011 in math.DG and math.CA
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.
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