An abnormal set for the \((2,3,5,8)\)-distribution

DOI10.1134/S0001434621010375zbMath1470.53032OpenAlexW3178744960MaRDI QIDQ2037668

Yuri L. Sachkov, E. F. Sachkova

Publication date: 8 July 2021

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434621010375

zbMATH Keywords

sub-analyticitysub-Riemannian geometrySard propertyabnormal setabnormal trajectories

Mathematics Subject Classification ID

Variational problems in a geometric measure-theoretic setting (49Q20) Nilpotent and solvable Lie groups (22E25) Optimality conditions for problems involving ordinary differential equations (49K15) Sub-Riemannian geometry (53C17) Generalized coordinates; event, impulse-energy, configuration, state, or phase space for problems in mechanics (70G10)

Cites Work

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• Extremal polynomials in stratified groups
• Control theory from the geometric viewpoint.
• A dynamical approach to the Sard problem in Carnot groups
• Degenerate abnormal trajectories in a sub-Riemannian problem with growth vector \((2, 3, 5, 8)\)
• A Comprehensive Introduction to Sub-Riemannian Geometry
• The structure of abnormal extremals in a sub-Riemannian problem with growth vector

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