We study the interplay between geodesics on two non-holonomic 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.
CITATION STYLE
Godoy Molina, M., & Markina, I. (2021). Sub-riemannian geodesics on nested principal bundles. In Lecture Notes in Electrical Engineering (Vol. 695 LNEE, pp. 82–92). Springer Science and Business Media Deutschland GmbH. https://doi.org/10.1007/978-3-030-58653-9_8
Mendeley helps you to discover research relevant for your work.