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arXiv · 2009.00965

Sub-Riemannian geodesics on nested principal bundles

Mauricio Godoy Molina·Irina Markina
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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.

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Mauricio Godoy Molina, Irina Markina. 2020-09-02. Sub-Riemannian geodesics on nested principal bundles. https://arxiv.org/abs/2009.00965

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