Sub-Riemannian geodesics on nested principal bundles

2020/09/02 by Molina, Mauricio Godoy, Markina, Irina
#Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2009.00965

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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