Journal
GEOMETRIC AND FUNCTIONAL ANALYSIS
Volume 23, Issue 4, Pages 1371-1401Publisher
SPRINGER BASEL AG
DOI: 10.1007/s00039-013-0226-7
Keywords
Regularity of geodesics; abnormal curves; extremal curves; free nilpotent groups; Carnot groups; sub-Riemannian geometry; algebraic variety
Categories
Funding
- Fondazione CaRiPaRo Project Nonlinear Partial Differential Equations: models, analysis, and control-theoretic problems, Padova
Ask authors/readers for more resources
We classify extremal curves in free nilpotent Lie groups. The classification is obtained via an explicit integration of the adjoint equation in Pontryagin maximum principle. It turns out that abnormal extremals are precisely the horizontal curves contained in algebraic varieties of a specific type. We also extend the results to the nonfree case.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available
Share Paper
