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

2010/12/03 by Wojciech Krynski, Krynski, Wojciech
Mathematics · #Differential Geometry (math.DG) #FOS: Mathematics #math.DG

paper · pdf · doi:10.48550/arxiv.1012.0710

arxiv created 2010/12/06 · arxiv updated 2010/12/07

Abstract

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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