Submersions and curves of constant geodesic curvature

Mauricio Godoy Molina; Erlend Grong; Irina Markina

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arXiv · 1707.05155

Submersions and curves of constant geodesic curvature

Mauricio Godoy Molina·Erlend Grong·Irina Markina

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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.

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BibTeX RIS

Mauricio Godoy Molina, Erlend Grong, Irina Markina. 2017-07-17. Submersions and curves of constant geodesic curvature. https://arxiv.org/abs/1707.05155

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