A ne distributions on a four-dimensional extension of the semi-Euclidean group

Authors

  • Dennis I. Barrett
  • Rory Biggs
  • Claudiu C. Remsing

DOI:

https://doi.org/10.1285/i15900932v35n2p81

Keywords:

a ne distribution, Lie algebra, invariant control system, sub-Riemannian structure

Abstract

The invariant affine distributions on a four-dimensional central extension of the semi-Euclidean group are classified (up to group automorphism). This classification is briefly discussed in the context of invariant control theory and sub-Riemannian geometry.

Downloads

Published

04-04-2016

Issue

Volume 35, Issue 2 (2015)

Section

Articoli

License

Authors who publish with this publication accept all the terms and conditions of the Creative Commons license at the link below.

Gli autori che pubblicano in questa rivista accettano i termini e le condizioni specificate nella licenza Creative Commons di cui al link sottostante.

http://creativecommons.org/licenses/by-nc-nd/3.0/it/legalcode