Free 3-distributions: holonomy, Fefferman constructions and dual distributions

Details Free 3-distributions: holonomy, Fefferman constructions and dual distributions Free 3-distributions: holonomy, Fefferman constructions and dual distributions

2007-08-22

arxiv.org/abs/0708.3027v3

Mathematics

Differential Geometry

a corrected and improved version, 24 pages

Scientific paper

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 $n>3$.

Affiliated with

Also associated with

No associations

Rating

Free 3-distributions: holonomy, Fefferman constructions and dual distributions does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Free 3-distributions: holonomy, Fefferman constructions and dual distributions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Free 3-distributions: holonomy, Fefferman constructions and dual distributions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-135979