On a holonomy flag of non-holonomic distributions
Differential Geometry
2015-12-08 v1
Abstract
We give definition of a holonomy flag in subRiemannian geometry --- a generalization of a Riemannian holonomy algebra --- and calculate it for the 3D subRiemannian Lie groups. We rewrite and give new interpretation for the Codazzi equations for the -distributions on the and the Heisenberg group.
Keywords
Cite
@article{arxiv.1512.01918,
title = {On a holonomy flag of non-holonomic distributions},
author = {Evgeny Malkovich},
journal= {arXiv preprint arXiv:1512.01918},
year = {2015}
}