Free 3-distributions: holonomy, Fefferman constructions and dual distributions
نویسنده
چکیده
This paper analyses the parabolic geometries generated by a free 3-distribution in the tangent space of a manifold. It shows the existence of normal Fefferman constructions over CR and Lagrangian contact structures corresponding to holonomy reductions to SO(4, 2) and SO(3, 3), respectively. There is also a fascinating construction of a ‘dual’ distribution when the holonomy reduces to G′2. The paper concludes with some holonomy constructions for free n-distributions for n > 3.
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تاریخ انتشار 2008