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math.OC2022
Metric lines in Jet Space
Alejandro Bravo-Doddoli
Given a sub-Riemannian manifold, a relevant question is: what are the metric lines (isometric embedding of the real line)? The space of -jets of a real function of one real vari…
math.OC2021★ 8 cited
Geodesics in Jet Space
Alejandro Bravo-Doddoli, Richard Montgomery
The space of -jets of a real function of one real variable admits the structure of Carnot group type. As such, admits a submetry (\sR submersion) onto the Euclid…