The structure of abnormal extremals in a sub-Riemannian problem with growth vector

DOI10.1070/SM9266zbMath1467.53035WikidataQ115316314 ScholiaQ115316314MaRDI QIDQ5149926

E. F. Sachkova, Yuri L. Sachkov

Publication date: 9 February 2021

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

zbMATH Keywords

abnormal extremalsabnormal trajectoriessub-Riemannian problemstrict/nonstrict abnormality

Mathematics Subject Classification ID

Nilpotent and solvable Lie groups (22E25) Optimality conditions for problems involving ordinary differential equations (49K15) Sub-Riemannian geometry (53C17)

Related Items (5)

Abnormal trajectories in the sub-Riemannian \((2,3,5,8)\) problem ⋮ Sub-Riemannian \((2, 3, 5, 6)\)-structures ⋮ Abnormal extremals in the sub-Riemannian problem for a general model of a robot with a trailer ⋮ An abnormal set for the \((2,3,5,8)\)-distribution ⋮ Carnot algebras and sub-Riemannian structures with growth vector \((2,\,3,\,5,\,6)\)

Cites Work

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• Cut time in sub-riemannian problem on engel group
• Abnormal Minimizers
• Liouville integrability of sub-Riemannian problems on Carnot groups of step 4 or greater
• Exponential map in the generalized Dido problem
• A Comprehensive Introduction to Sub-Riemannian Geometry

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