Parabolic (3,5,6)-distributions and Gl(2)-structures

Details Parabolic (3,5,6)-distributions and Gl(2)-structures Parabolic (3,5,6)-distributions and Gl(2)-structures

2010-12-03

arxiv.org/abs/1012.0710v2

Mathematics

Differential Geometry

Scientific paper

We consider rank 3 distributions with growth vector (3,5,6). The class of such distributions splits into three subclasses: parabolic, hyperbolic and elliptic. In the present paper, we deal with the parabolic case. We provide a classification of such distributions and exhibit connections between them and Gl(2)-structures. We prove that any Gl(2)-structure on three and four dimensional manifold can be interpreted as a parabolic (3,5,6)-distribution.

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