Sub-Riemannian Engel sphere

DOI10.1134/S1064562421050215zbMath1490.53049OpenAlexW4210793840WikidataQ115247439 ScholiaQ115247439MaRDI QIDQ2116726

Yanyan Li

Publication date: 18 March 2022

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562421050215

zbMATH Keywords

sub-Riemannian geometryEngel groupsub-Riemannian sphere

Mathematics Subject Classification ID

Sub-Riemannian geometry (53C17)

Related Items (2)

Front asymptotics of a flat sub-Riemannian structure on the Engel distribution ⋮ Abnormal extremals in the sub-Riemannian problem for a general model of a robot with a trailer

Cites Work

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• On the role of abnormal minimizers in sub-Riemannian geometry
• Maxwell strata and cut locus in the sub-Riemannian problem on the Engel group
• Cut locus and optimal synthesis in sub-Riemannian problem on the Lie group SH(2)
• Cut locus and optimal synthesis in the sub-Riemannian problem on the group of motions of a plane
• Sub-Riemannian Metrics: Minimality of Abnormal Geodesics versus Subanalyticity
• Sub-Riemannian sphere in Martinet flat case
• A Comprehensive Introduction to Sub-Riemannian Geometry
• Invariant Carnot–Caratheodory Metrics on $S^3$, $SO(3)$, $SL(2)$, and Lens Spaces

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