Nilpotent \((3, 6)\) sub-Riemannian problem
type: Item
instance of: scholarly article
title: Nilpotent \((3, 6)\) sub-Riemannian problem
zbMATH Open document ID: 1047.93014
DOI: 10.1023/A:1020719503741
author: Yanyan Li
published in: Journal of Dynamical and Control Systems
publication date: 2002-12-15T00:00:00Z
review text: The paper characterizes the set of points where the sub-Riemannian geodesics originating from a given point lose optimality, in the case of a \((3,6)\) sub-Riemannian manifold. It turns out that this set coincides with the first caustic, which admits a simple representation. The author conjectures that a similar result possibly holds for all \((n, \frac{n(n+1)}{2})\) sub-Riemanian problems.
reviewed by: Manuel Guerra
Mathematics Subject Classification ID: 93B29
Mathematics Subject Classification ID: 53C17
zbMATH DE Number: 1845291
zbMATH Keywords: sub-Riemannian geometry
zbMATH Keywords: nonholonomic constraints
zbMATH Keywords: Pontryagin maximum principle
zbMATH Keywords: Lagrangean map
zbMATH Keywords: SO\((n)\)-action
zbMATH Keywords: caustic
MaRDI profile type: Publication
full work available at URL: a:1020719503741
OpenAlex ID: W1655919850
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description: scientific article; zbMATH DE number 1845291