Metric lines in the jet space

In the realm of sub-Riemannian manifolds, a relevant question is: what are the metric lines (isometric embedding of the real line)? The space of kk-jets of a real function of one real variable xx, denoted by Jk(R,R){J}^{k}\left({\mathbb{R}},{\mathbb{R}}), admits the structure of a Carnot group. Ever...

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Bibliographic Details
Main Author: Bravo-Doddoli Alejandro
Format: Article
Language:English
Published: De Gruyter 2024-11-01
Series:Analysis and Geometry in Metric Spaces
Subjects:
Online Access:https://doi.org/10.1515/agms-2024-0016
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