Sub-Riemannian geodesics on nested principal bundles
Differential Geometry
2020-09-03 v1
Abstract
We study the interplay between geodesics on two non-holono\-mic systems that are related by the action of a Lie group on them. After some geometric preliminaries, we use the Hamiltonian formalism to write the parametric form of geodesics. We present several geometric examples, including a non-holonomic structure on the Gromoll-Meyer exotic sphere and twistor space.
Cite
@article{arxiv.2009.00965,
title = {Sub-Riemannian geodesics on nested principal bundles},
author = {Mauricio Godoy Molina and Irina Markina},
journal= {arXiv preprint arXiv:2009.00965},
year = {2020}
}
Comments
10 pages