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• W2023436072 abstract "We show that the geodesic flows of a sub-Riemannian metric and that of a Riemannian extension commute if and only if the extended metric is parallel with respect to a certain connection. This result allows us to describe the sub-Riemannian geodesic flow on totally geodesic Riemannian foliations in terms of the Riemannian geodesic flow. Also, given a submersion $$pi :M rightarrow B$$ , we describe when the projections of a Riemannian and a sub-Riemannian geodesic flow in M coincide." @default.
• W2023436072 created "2016-06-24" @default.
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• W2023436072 date "2016-07-07" @default.
• W2023436072 modified "2023-10-05" @default.
• W2023436072 title "Riemannian and Sub-Riemannian Geodesic Flows" @default.
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• W2023436072 doi "https://doi.org/10.1007/s12220-016-9717-8" @default.
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