Singular curves of hyperbolic (4, 7)-distributions of type C3
Abstract
A distribution of rank 4 on a 7-dimensional manifold is called a (4, 7)-distribution if its local sections generate the whole tangent space by taking Lie brackets once. Singular curves of (4, 7)-distributions are studied in this paper. In particular the class of hyperbolic (4, 7)-distributions of type C3 is introduced and singular curves are completely described via prolongations for them.
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