Extremal curves in nilpotent Lie groups

DOI10.1007/S00039-013-0226-7zbMath1278.53035arXiv1207.3985OpenAlexW2964022955WikidataQ109520647 ScholiaQ109520647MaRDI QIDQ359553

Enrico Le Donne, Davide Vittone, Gian Paolo Leonardi, Roberto Monti

Publication date: 12 August 2013

Published in: Geometric and Functional Analysis. GAFA (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1207.3985

zbMATH Keywords

sub-Riemannian geometryCarnot groupsalgebraic varietyextremal curvesfree nilpotent groupsregularity of geodesics

Mathematics Subject Classification ID

Sub-Riemannian geometry (53C17)

Related Items (19)

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Cites Work

• Unnamed Item
• Models for free nilpotent Lie algebras
• End-point equations and regularity of sub-Riemannian geodesics
• Rigidity of integral curves of rank 2 distributions
• Control theory from the geometric viewpoint.
• Rigid paths of generic 2-distributions on 3-manifolds
• A note on Carnot geodesics in nilpotent Lie groups
• Abnormal sub-Riemannian geodesics: Morse index and rigidity
• Genericity results for singular curves
• Regularity results for sub-Riemannian geodesics
• Abnormal Minimizers
• Shortest paths for sub-Riemannian metrics on rank-two distributions
• Subriemannian geodesics of Carnot groups of step 3
• A Basis for Free Lie Rings and Higher Commutators in Free Groups

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