Submersions and curves of constant geodesic curvature
Differential Geometry
2017-07-18 v1
Abstract
Considering Riemannian submersions, we find necessary and sufficient conditions for when sub-Riemannian normal geodesics project to curves of constant first geodesic curvature or constant first and vanishing second geodesic curvatures. We describe a canonical extension of the sub-Riemannian metric and study geometric properties of the obtained Riemannian manifold. This work contains several examples illustrating the results.
Keywords
Cite
@article{arxiv.1707.05155,
title = {Submersions and curves of constant geodesic curvature},
author = {Mauricio Godoy Molina and Erlend Grong and Irina Markina},
journal= {arXiv preprint arXiv:1707.05155},
year = {2017}
}
Comments
18 pages