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A family of nonminimizing abnormal curves

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Publication:478570
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DOI10.1007/s10231-013-0344-8zbMath1304.53025OpenAlexW2064783657MaRDI QIDQ478570

Roberto Monti

Publication date: 3 December 2014

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: http://link.springer.com/article/10.1007/s10231-013-0344-8


zbMATH Keywords

sub-Riemannian geometryregularity of geodesicsabnormal extremals


Mathematics Subject Classification ID

Sub-Riemannian geometry (53C17) Optimality conditions for solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49K30)


Related Items (2)

Non-minimality of corners in subriemannian geometry ⋮ Corners in non-equiregular sub-Riemannian manifolds



Cites Work

  • Extremal curves in nilpotent Lie groups
  • End-point equations and regularity of sub-Riemannian geodesics
  • Some remarks on the definition of tangent cones in a Carnot-Carathéodory space
  • Regularity results for sub-Riemannian geodesics
  • Abnormal Minimizers
  • Shortest paths for sub-Riemannian metrics on rank-two distributions




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